comp diff
•Download as PPT, PDF•
0 likes•238 views
The document discusses composite functions f(g(x)) where f(x) and g(x) are various functions. It goes through examples of calculating the derivative of the composite function f(g(x)) by using the chain rule. The chain rule states that the derivative of f(g(x)) is f'(g(x)) * g'(x). It provides several examples of applying the chain rule to find the derivative of various composite functions.
Report
Share
Report
Share
Recommended
素数は孤独じゃない（番外編） 第13回 数学カフェ「素数！！」
1) The document discusses representations of prime numbers as sums of squares and relates them to modular forms.
2) Several formulas are presented for expressing prime numbers as sums of squares of integers, such as p = X^2 + 7Y^2.
3) Properties of modular forms are summarized, including representations as Fourier series and transformations under substitutions.
Tabla de derivadas
The document provides tables summarizing rules for deriving functions. It lists common functions and their derivatives, such as the derivative of a sum of functions being the sum of the individual derivatives. Examples are given such as the derivative of x4 + x3 being 4x3 + 3x2. Trigonometric functions and their inverses are also covered.
ロマンティックな９つの数 #ロマ数ボーイズ
The document contains mathematical equations and discussions involving prime numbers, polynomials, and Heegner numbers. It explores properties of prime-generating polynomials and uses formulas to calculate values of eπ√d for different values of d, relating these to class numbers of imaginary quadratic fields. Bounds on Heegner numbers d are derived based on results from Heilbronn and Linfoot.
合同数問題と保型形式
2018/09/23に開催された、梅崎さん主催の「数学について話す会 https://unaoya.github.io/event.html 」で発表した資料です。
合同数問題という初等的な問題が保型形式によって解決する面白さについて、私の知っている限りでお話しました。
※スライド１枚目でハッシュタグ「#数学について語る会」とありますが、正しくは「#数学について話す会」でした。
より詳しくはこちらのブログ記事でまとめています：
合同数問題と保型形式（タネルの定理の証明の概略） - tsujimotterのノートブック
https://tsujimotter.hatenablog.com/entry/congruence_number_and_modular_forms
発表者：tsujimotter
http://tsujimotter.info
ppt_tech
- The document compares two methods for approximating Fisher information in the scalar case: sums of products of derivatives and the negative sum of second derivatives.
- For independent and identically distributed random variables, the asymptotic variances of the two methods can be estimated using Taylor expansions. Conditions are derived under which the second derivative method is more accurate.
- For a case study with normal distributions, the conditions are met, showing the second derivative method outperforms the product of derivatives method. The analysis provides theoretical justification for commonly using the second derivative approximation.
Maths ms
This document contains the marking scheme for the Mathematics exam of class 12 from the year 2017-18. It lists 12 questions from Section A, 7 questions from Section B, and 4 questions from Section C along with the marks assigned to each question. For most questions, the full solution is provided with marks assigned based on the steps shown. The marking scheme provides the question numbers, expected answers, and total marks to evaluate student responses on the Mathematics exam.
ゲーム理論BASIC 第20回 -無限回繰り返しゲーム-
This document discusses infinitely repeated games. It defines infinitely repeated games and their properties. It also covers trigger strategies, where players adopt punishment strategies if another player deviates from cooperation. Discount factors are introduced to model players valuing future payoffs less than current payoffs. The document discusses how trigger strategies can support cooperative outcomes as subgame perfect equilibria in infinitely repeated games using discount factors.
Recommended
素数は孤独じゃない（番外編） 第13回 数学カフェ「素数！！」
1) The document discusses representations of prime numbers as sums of squares and relates them to modular forms.
2) Several formulas are presented for expressing prime numbers as sums of squares of integers, such as p = X^2 + 7Y^2.
3) Properties of modular forms are summarized, including representations as Fourier series and transformations under substitutions.
Tabla de derivadas
The document provides tables summarizing rules for deriving functions. It lists common functions and their derivatives, such as the derivative of a sum of functions being the sum of the individual derivatives. Examples are given such as the derivative of x4 + x3 being 4x3 + 3x2. Trigonometric functions and their inverses are also covered.
ロマンティックな９つの数 #ロマ数ボーイズ
The document contains mathematical equations and discussions involving prime numbers, polynomials, and Heegner numbers. It explores properties of prime-generating polynomials and uses formulas to calculate values of eπ√d for different values of d, relating these to class numbers of imaginary quadratic fields. Bounds on Heegner numbers d are derived based on results from Heilbronn and Linfoot.
合同数問題と保型形式
2018/09/23に開催された、梅崎さん主催の「数学について話す会 https://unaoya.github.io/event.html 」で発表した資料です。
合同数問題という初等的な問題が保型形式によって解決する面白さについて、私の知っている限りでお話しました。
※スライド１枚目でハッシュタグ「#数学について語る会」とありますが、正しくは「#数学について話す会」でした。
より詳しくはこちらのブログ記事でまとめています：
合同数問題と保型形式（タネルの定理の証明の概略） - tsujimotterのノートブック
https://tsujimotter.hatenablog.com/entry/congruence_number_and_modular_forms
発表者：tsujimotter
http://tsujimotter.info
ppt_tech
- The document compares two methods for approximating Fisher information in the scalar case: sums of products of derivatives and the negative sum of second derivatives.
- For independent and identically distributed random variables, the asymptotic variances of the two methods can be estimated using Taylor expansions. Conditions are derived under which the second derivative method is more accurate.
- For a case study with normal distributions, the conditions are met, showing the second derivative method outperforms the product of derivatives method. The analysis provides theoretical justification for commonly using the second derivative approximation.
Maths ms
This document contains the marking scheme for the Mathematics exam of class 12 from the year 2017-18. It lists 12 questions from Section A, 7 questions from Section B, and 4 questions from Section C along with the marks assigned to each question. For most questions, the full solution is provided with marks assigned based on the steps shown. The marking scheme provides the question numbers, expected answers, and total marks to evaluate student responses on the Mathematics exam.
ゲーム理論BASIC 第20回 -無限回繰り返しゲーム-
This document discusses infinitely repeated games. It defines infinitely repeated games and their properties. It also covers trigger strategies, where players adopt punishment strategies if another player deviates from cooperation. Discount factors are introduced to model players valuing future payoffs less than current payoffs. The document discusses how trigger strategies can support cooperative outcomes as subgame perfect equilibria in infinitely repeated games using discount factors.
Lesson 5.3 honors
This document discusses solving quadratic equations by factoring. It begins by defining a quadratic equation in standard form and explaining the zero factor property. It then provides examples of solving quadratic equations through factoring and setting each factor equal to zero. Finally, it demonstrates solving word problems by setting up and solving the resulting quadratic equation.
11 x1 t09 03 rules for differentiation (2013)
The document outlines differentiation rules:
1) The derivative of a constant function is 0.
2) The derivative of a function with respect to x multiplied by a constant k is the derivative of the function multiplied by k.
3) The derivative of a polynomial function is found by taking the derivative of each term.
4) The derivative of a function divided by x is the derivative of the function minus the function divided by x squared.
Determinantes 2 ano
This document contains 5 problems involving calculating determinants of matrices.
1. Calculates various matrix operations and additions/subtractions.
2. Calculates determinants and sums of determinants of added and multiplied matrices.
3. Calculates determinants and products of determinants for matrices A and B.
4. Calculates similar operations as 3 for matrices A and B.
5. Calculates similar operations as 3 and 4 for matrices A and B.
Integral calculus
1. The document discusses indefinite integration and provides formulas for integrating common functions.
2. Formulas are given for integrating trigonometric, inverse trigonometric, exponential, logarithmic, and other functions.
3. Examples of integrating various functions using the formulas are also provided.
03 chain rule
1. The document is a worksheet on differentiating functions using the chain rule. It provides 13 problems for practice differentiating various composite functions with respect to x.
2. The critical thinking question asks for a function that requires three applications of the chain rule to differentiate, and to then differentiate that function. An example response is given.
3. The worksheet is copyrighted and created by Kuta Software LLC to help students practice differentiation using the chain rule.
6.1 & 6.4 an overview of the area problem area
This document discusses two methods for evaluating definite integrals using substitution: 1) ignore the limits of integration and recalculate them at the end, or 2) recalculate the limits of integration at the beginning so they do not need to be revisited later. Examples are provided comparing the two methods on integrals involving trigonometric, exponential, and algebraic substitutions. Practice problems are also included for readers to try the substitution methods.
Complex Numbers Mathmatics N4
FET College Registrations Engineering N1 – N6 Business N4 – N6 Mechanical Engineering Civil Engineering Electrical Engineering Business Qualifications FET Matric Rewrite New Syllabus Technical Matric N3 Phone: +27 73 090 2954 Fax: +27 11 604 2771 Email: mathsmech206@gmail.com
ゲーム理論BASIC 演習6 -仁を求める-
The document defines an ordering ≫ on the set A(v) based on the values of θ1(x), θ2(x),...,θ2n-4(x). For any x,y in A(v), x ≫ y if and only if there exists 1 ≤ k ≤ 2n-4 such that θl(x) = θl(y) for l = 1,...,k-1 and θk(x) < θk(y). It also defines the sets C(v) and properties of the functions v(S) and θl(x).
J3 j3bu5t3r5
The document provides an example of multiplying two 2x2 matrices. It shows the step-by-step process of multiplying each element of the first matrix with the corresponding column elements of the second matrix. The answer matrix is calculated and presented. It then summarizes the general process for multiplying two 2x2 matrices.
12 perfecting squares
The document discusses the 3+1 teaching model and traditional teaching models. It provides examples of completing the square to solve quadratic equations. Some key steps shown include rearranging terms, factorizing, and taking square roots to solve for x. It also shows how to solve systems of equations that result from setting the factored forms equal to each other.
Negative numbers
The document provides examples and exercises on adding, subtracting, multiplying, and dividing negative numbers using a number line. It explains that to add or subtract a negative number, you move left on the number line, while to add or subtract a positive number you move right. For multiplication and division, it gives the rules that a positive times a negative is negative, and a negative times a negative is positive. Examples and practice problems apply these rules to calculate expressions with mixed positive and negative numbers.
Calculo
This document contains formulas for calculus, trigonometric functions, and their inverses. It includes formulas for:
- Differentiation and integration of polynomials using the power, product, and quotient rules.
- Trigonometric identities for sums and differences of sines, cosines, tangents, cotangents, secants and cosecants.
- Graphs of trigonometric functions and their inverses over their domains.
- Absolute value definitions.
- Sum and difference formulas for trigonometric functions of angles.
Capitulo 5 Soluciones Purcell 9na Edicion
This document provides examples of calculating area under curves using the integral. It contains 19 practice problems that involve slicing areas vertically or horizontally and integrating to find the area. The key steps are to identify intersection points, set up integrals using appropriate bounds, and evaluate the integrals to obtain area estimates.
ゲーム理論BASIC 演習7 -シャープレイ値を求める-
The document provides information about calculating marginal gains values for different orderings of elements in a set. It defines the marginal gain function and describes calculating marginal gains for 3 elements in a set under different orderings of those elements. Equations for the marginal gain function are provided along with numeric examples to illustrate the calculations.
Intigrations
1) Integration generally means combining parts so that they work together as a whole. In information technology, integration refers to combining separate components or bringing different manufacturers' products together into a smoothly working system.
2) Gottfried Leibniz introduced the modern notation for the indefinite integral in 1675 and adapted the integral symbol ∫ from the letter s, representing summa or sum. Joseph Fourier introduced the modern notation for the definite integral with limits above and below the integral sign around 1819-20.
3) The major advance in integration came in the 17th century with the independent discovery of the fundamental theorem of calculus by Newton and Leibniz, demonstrating a connection between integration and differentiation that allows
Substitution
The document provides examples of simplifying monomials, binomials, and trinomials using substitution. It works through problems involving substitution into expressions with variables raised to various powers and combinations of terms.
Trial terengganu 2014 spm add math k1 skema [scan]
This document is a mark scheme for an Additional Math exam containing 25 questions. It provides the answers and working for each question worth 1-3 marks. The questions cover topics such as algebra, calculus, probability, and statistics. In general, the mark scheme aims to show the steps required to earn marks for solving problems that are typical exam questions in Additional Mathematics.
เลขยกกำลังชุด 2
1. Rules for exponents are reviewed, including that when multiplying or dividing terms with the same base, the exponents are added or subtracted.
2. Several examples are worked through applying these rules to simplify expressions involving exponents.
3. Key points about negative exponents and operations involving them are explained.
Compfuncdiff
The document discusses composite functions and calculating their derivatives. It provides examples of composite functions f(g(x)) and calculates the derivatives f'(x) by applying the chain rule. The derivatives are expressed in terms of the inner and outer functions g(x) and f(x).
Windows Azure Partner Presentation
This document provides an overview of cloud computing and Microsoft's Windows Azure platform. It begins with background on the lack of clarity around cloud definitions and then presents Microsoft's taxonomy for classifying different cloud services. The rest of the document discusses the business benefits of cloud computing, introduces Windows Azure and its capabilities, and explores how Microsoft plans to work with partners to support the platform. It addresses common questions around Windows Azure's supported languages, differences between SQL Azure and SQL Server, and how Windows Azure computes pricing for compute, storage, and bandwidth resources.
Chicago Politicians on Twitter
Slides as presented at MPSA 2012.
Paper abstract:
This paper uses data from 1,042 tweets posted by or mentioning Chicago Aldermen or Mayor Rahm Emanuel to examine how Chicago politicians use social media. Twitter provides a public communication medium in which constituents and their representatives can have two-way conversations that others can witness and record, and we used qualitative and social network methods to examine conversations between Chicagoans and representatives in city government. We coded the contents of each tweet over the two-week time period (e.g., official business, fundraising) and created representations of the social networks created by the users’ following behaviors. These networks indicate who receives politicians’ tweets and help identify the audiences for political messaging in social media. Our analysis indicates that Chicago’s Aldermen and Mayor use Twitter for social conversations more often than political ones, and that only a small number of Aldermen dominate the resulting conversation networks.
Illustration
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive functioning. Exercise causes chemical changes in the brain that may help boost feelings of calmness, happiness and focus.
More Related Content
What's hot
Lesson 5.3 honors
This document discusses solving quadratic equations by factoring. It begins by defining a quadratic equation in standard form and explaining the zero factor property. It then provides examples of solving quadratic equations through factoring and setting each factor equal to zero. Finally, it demonstrates solving word problems by setting up and solving the resulting quadratic equation.
11 x1 t09 03 rules for differentiation (2013)
The document outlines differentiation rules:
1) The derivative of a constant function is 0.
2) The derivative of a function with respect to x multiplied by a constant k is the derivative of the function multiplied by k.
3) The derivative of a polynomial function is found by taking the derivative of each term.
4) The derivative of a function divided by x is the derivative of the function minus the function divided by x squared.
Determinantes 2 ano
This document contains 5 problems involving calculating determinants of matrices.
1. Calculates various matrix operations and additions/subtractions.
2. Calculates determinants and sums of determinants of added and multiplied matrices.
3. Calculates determinants and products of determinants for matrices A and B.
4. Calculates similar operations as 3 for matrices A and B.
5. Calculates similar operations as 3 and 4 for matrices A and B.
Integral calculus
1. The document discusses indefinite integration and provides formulas for integrating common functions.
2. Formulas are given for integrating trigonometric, inverse trigonometric, exponential, logarithmic, and other functions.
3. Examples of integrating various functions using the formulas are also provided.
03 chain rule
1. The document is a worksheet on differentiating functions using the chain rule. It provides 13 problems for practice differentiating various composite functions with respect to x.
2. The critical thinking question asks for a function that requires three applications of the chain rule to differentiate, and to then differentiate that function. An example response is given.
3. The worksheet is copyrighted and created by Kuta Software LLC to help students practice differentiation using the chain rule.
6.1 & 6.4 an overview of the area problem area
This document discusses two methods for evaluating definite integrals using substitution: 1) ignore the limits of integration and recalculate them at the end, or 2) recalculate the limits of integration at the beginning so they do not need to be revisited later. Examples are provided comparing the two methods on integrals involving trigonometric, exponential, and algebraic substitutions. Practice problems are also included for readers to try the substitution methods.
Complex Numbers Mathmatics N4
FET College Registrations Engineering N1 – N6 Business N4 – N6 Mechanical Engineering Civil Engineering Electrical Engineering Business Qualifications FET Matric Rewrite New Syllabus Technical Matric N3 Phone: +27 73 090 2954 Fax: +27 11 604 2771 Email: mathsmech206@gmail.com
ゲーム理論BASIC 演習6 -仁を求める-
The document defines an ordering ≫ on the set A(v) based on the values of θ1(x), θ2(x),...,θ2n-4(x). For any x,y in A(v), x ≫ y if and only if there exists 1 ≤ k ≤ 2n-4 such that θl(x) = θl(y) for l = 1,...,k-1 and θk(x) < θk(y). It also defines the sets C(v) and properties of the functions v(S) and θl(x).
J3 j3bu5t3r5
The document provides an example of multiplying two 2x2 matrices. It shows the step-by-step process of multiplying each element of the first matrix with the corresponding column elements of the second matrix. The answer matrix is calculated and presented. It then summarizes the general process for multiplying two 2x2 matrices.
12 perfecting squares
The document discusses the 3+1 teaching model and traditional teaching models. It provides examples of completing the square to solve quadratic equations. Some key steps shown include rearranging terms, factorizing, and taking square roots to solve for x. It also shows how to solve systems of equations that result from setting the factored forms equal to each other.
Negative numbers
The document provides examples and exercises on adding, subtracting, multiplying, and dividing negative numbers using a number line. It explains that to add or subtract a negative number, you move left on the number line, while to add or subtract a positive number you move right. For multiplication and division, it gives the rules that a positive times a negative is negative, and a negative times a negative is positive. Examples and practice problems apply these rules to calculate expressions with mixed positive and negative numbers.
Calculo
This document contains formulas for calculus, trigonometric functions, and their inverses. It includes formulas for:
- Differentiation and integration of polynomials using the power, product, and quotient rules.
- Trigonometric identities for sums and differences of sines, cosines, tangents, cotangents, secants and cosecants.
- Graphs of trigonometric functions and their inverses over their domains.
- Absolute value definitions.
- Sum and difference formulas for trigonometric functions of angles.
Capitulo 5 Soluciones Purcell 9na Edicion
This document provides examples of calculating area under curves using the integral. It contains 19 practice problems that involve slicing areas vertically or horizontally and integrating to find the area. The key steps are to identify intersection points, set up integrals using appropriate bounds, and evaluate the integrals to obtain area estimates.
ゲーム理論BASIC 演習7 -シャープレイ値を求める-
The document provides information about calculating marginal gains values for different orderings of elements in a set. It defines the marginal gain function and describes calculating marginal gains for 3 elements in a set under different orderings of those elements. Equations for the marginal gain function are provided along with numeric examples to illustrate the calculations.
Intigrations
1) Integration generally means combining parts so that they work together as a whole. In information technology, integration refers to combining separate components or bringing different manufacturers' products together into a smoothly working system.
2) Gottfried Leibniz introduced the modern notation for the indefinite integral in 1675 and adapted the integral symbol ∫ from the letter s, representing summa or sum. Joseph Fourier introduced the modern notation for the definite integral with limits above and below the integral sign around 1819-20.
3) The major advance in integration came in the 17th century with the independent discovery of the fundamental theorem of calculus by Newton and Leibniz, demonstrating a connection between integration and differentiation that allows
Substitution
The document provides examples of simplifying monomials, binomials, and trinomials using substitution. It works through problems involving substitution into expressions with variables raised to various powers and combinations of terms.
Trial terengganu 2014 spm add math k1 skema [scan]
This document is a mark scheme for an Additional Math exam containing 25 questions. It provides the answers and working for each question worth 1-3 marks. The questions cover topics such as algebra, calculus, probability, and statistics. In general, the mark scheme aims to show the steps required to earn marks for solving problems that are typical exam questions in Additional Mathematics.
เลขยกกำลังชุด 2
1. Rules for exponents are reviewed, including that when multiplying or dividing terms with the same base, the exponents are added or subtracted.
2. Several examples are worked through applying these rules to simplify expressions involving exponents.
3. Key points about negative exponents and operations involving them are explained.
What's hot (18)
Trial terengganu 2014 spm add math k1 skema [scan]
Trial terengganu 2014 spm add math k1 skema [scan]
Viewers also liked
Compfuncdiff
The document discusses composite functions and calculating their derivatives. It provides examples of composite functions f(g(x)) and calculates the derivatives f'(x) by applying the chain rule. The derivatives are expressed in terms of the inner and outer functions g(x) and f(x).
Windows Azure Partner Presentation
This document provides an overview of cloud computing and Microsoft's Windows Azure platform. It begins with background on the lack of clarity around cloud definitions and then presents Microsoft's taxonomy for classifying different cloud services. The rest of the document discusses the business benefits of cloud computing, introduces Windows Azure and its capabilities, and explores how Microsoft plans to work with partners to support the platform. It addresses common questions around Windows Azure's supported languages, differences between SQL Azure and SQL Server, and how Windows Azure computes pricing for compute, storage, and bandwidth resources.
Chicago Politicians on Twitter
Slides as presented at MPSA 2012.
Paper abstract:
This paper uses data from 1,042 tweets posted by or mentioning Chicago Aldermen or Mayor Rahm Emanuel to examine how Chicago politicians use social media. Twitter provides a public communication medium in which constituents and their representatives can have two-way conversations that others can witness and record, and we used qualitative and social network methods to examine conversations between Chicagoans and representatives in city government. We coded the contents of each tweet over the two-week time period (e.g., official business, fundraising) and created representations of the social networks created by the users’ following behaviors. These networks indicate who receives politicians’ tweets and help identify the audiences for political messaging in social media. Our analysis indicates that Chicago’s Aldermen and Mayor use Twitter for social conversations more often than political ones, and that only a small number of Aldermen dominate the resulting conversation networks.
Illustration
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive functioning. Exercise causes chemical changes in the brain that may help boost feelings of calmness, happiness and focus.
Ventral oral mucosal onlay graft urethroplasty
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive function. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms.
25 techniques Marketing digitales pour atteindre vos clients
Ce livre blanc vous aidera à comprendre de manière simple toutes les options de marketing de contenu qui s'offrent à vous pour atteindre vos clients. Vous y trouverez des définitions, des exemples et des suggestions pratiques.
xAPI - web-conférence FFFOD du 15/09/15
Présentation du groupe de travail FFFOD "standards e-learning" de Pierre Radlovic, Sébastien Fraysse, Yann Lescurat et François-Xavier Boga
Internet, réseaux sociaux, mobilité: de nouvelles stratégies en oeuvre dans l...
Présentation faite lors de la soirée du cercle numérique d'Atout France le 25 mars 2010
Viewers also liked (10)
25 techniques Marketing digitales pour atteindre vos clients
25 techniques Marketing digitales pour atteindre vos clients
Internet, réseaux sociaux, mobilité: de nouvelles stratégies en oeuvre dans l...
Internet, réseaux sociaux, mobilité: de nouvelles stratégies en oeuvre dans l...
Similar to comp diff
01 derivadas
1) The document provides definitions and formulas for calculating derivatives, including the derivative of a function at a point, the derivative function, and common derivatives of basic functions like polynomials, exponentials, logarithms, trigonometric functions, and inverse trigonometric functions.
2) Examples are given of calculating derivatives using the definition of the derivative, for functions like f(x)=3x^2, f(x)=x+1, and f(x)=1/x.
3) Rules are listed for calculating the derivatives of sums, products, quotients of functions using properties of derivatives.
Integration formulas
The document provides formulas and instructions for integrating common functions. It contains:
1) Formulas for integrating rational functions like 1/x, polynomials, trigonometric functions, exponentials, and logarithms.
2) Methods for integrating functions using substitution, integration by parts, and partial fractions.
3) Examples of integrating polynomials, rational functions, and trigonometric functions.
Solution Manual : Chapter - 07 Exponential, Logarithmic and Inverse Trigonome...
This document contains exercises related to inverse functions and their properties. It includes 53 multi-part exercises involving determining if functions are inverses, composing functions, finding inverse functions, and evaluating derivatives of inverse functions. The exercises involve algebraic manipulation and graphical analysis of functions and their inverses.
Math quota-cmu-g-455
This document contains mathematical equations and calculations related to limits, derivatives, and functions. Some key details:
- It evaluates several limits as the variable approaches various values.
- It finds derivatives of functions using limit definitions.
- It solves equations related to finding maximum/minimum values and points of inflection for functions.
51546 0131469657 ism-5
This document provides examples of calculating area under curves using the integral. It contains 19 practice problems that involve slicing areas vertically or horizontally and integrating to find the area. The key steps are to identify intersection points, set up integrals using appropriate bounds, and evaluate the integrals to obtain area estimates.
Basic m4-2-chapter1
1. The document defines various functions and relations using set-builder and function notation.
2. Examples of linear, quadratic, and polynomial functions are provided with their domain and range restrictions.
3. Common transformations of basic quadratic functions like y=x^2 are demonstrated, such as shifting the graph left or right and changing the sign of coefficients.
Ejerciciosderivadasresueltos
This document provides solutions to calculating the derivative functions of various given functions. It includes:
1) Finding the derivative functions of polynomials, rational functions, exponential functions, logarithmic functions, trigonometric functions, and composite functions.
2) The solutions provide the step-by-step work and final derivative function for each problem.
3) There are over 25 problems covered across multiple pages with the aim of teaching calculation of derivative functions.
Zeros of polynomial functions
This document provides examples and explanations of factoring polynomials and finding zeros of polynomial functions. It covers factoring polynomials using the difference of squares, sum and difference of cubes, and perfect squares and cubes. It also shows how to find all zeros of polynomial functions by factoring them into linear and quadratic factors and setting each factor equal to zero.
Lecture 03 special products and factoring
This document provides information and examples on multiplying polynomials, including:
1) Multiplying a monomial and polynomial using the distributive property.
2) Multiplying two polynomials using both the horizontal and vertical methods.
3) Factoring trinomials and identifying similar and conjugate binomials. Methods like FOIL and grouping are discussed.
4.1 inverse functions t
This document provides examples and exercises on inverse functions. It first shows an example of finding the inverse of the function f(x) = 2x-3/(x+2). It gives the steps to solve for x in terms of y and obtain the inverse function f^-1(x) = -2x-3/(x-2). It then asks the reader to verify that f(f^-1(x)) = x. The exercises provide 20 functions and ask the reader to find their inverses and verify the inverses are correct. It also gives graphs of 8 functions and asks the reader to determine properties of the inverse graphs, including their domains and ranges and any fixed or end points.
College algebra 7th edition by blitzer solution manual
https://bit.ly/2UN5HCM
Language: English
ISBN-10: 0134753658
ISBN-13: 978-0134753652
ISBN-13: 9780134753652
instant download College Algebra 7th Edition Blitzer
Algebra 7th pdf free Blitzer
Blitzer download sample College Algebra 7th
7th College Algebra Blitzer pdf online
FUNCIONES.pptx
This document contains exercises on operations with functions. It gives two functions, f(x) = x^2 + 2x - 3 and g(x) = x^2 + 3x - 4, and asks to find:
a) f+g(x)
b) f-g(x)
c) f*g(x)
d) f/g(x)
e) f(x+2)
f) f(1/4)
It also asks to find the composite function f o g(x) and its domain, where f(x) = x - 3 and g(x) = x^2 + 2. Finally,
Combined Functions
- Two functions, f(x) and g(x), are combined in similar ways to addition, subtraction, multiplication, and division of real numbers. This allows the formation of new functions.
- The document demonstrates examples of combining f(x)=x+1 and g(x)=2x using addition, subtraction, multiplication, and division. It shows the algebraic steps to derive each new function h(x) and evaluates h(x) for various x values.
- Graphs of the functions h(x) are provided to illustrate the relationships between the combined functions.
Polynomial operations (1)
This document provides information about polynomial operations including:
1) Defining polynomials as algebraic expressions involving integer powers of a variable and real number coefficients.
2) Examples of adding, subtracting, and multiplying polynomials by using vertical or FOIL methods.
3) Important formulas for polynomial operations such as (a + b)(a - b) = a2 - b2 and (a + b)2 = a2 + 2ab + b2.
4) Worked examples of applying these formulas and methods to polynomials involving single and multiple variables.
51542 0131469657 ism-1
1. The document provides examples of limits calculations and concepts.
2. Key steps in limit calculations are presented such as evaluating one-sided limits separately if they differ and using algebraic manipulation to simplify expressions before taking the limit.
3. Problem sets with solutions demonstrate various types of limits, including one-sided limits, limits at infinity, limits of rational functions, and limits of trigonometric functions.
EPCA_MODULE-2.pptx
To factor a polynomial using greatest common factors (GCF):
1. Find the GCF of the coefficients and of the variables.
2. The GCF is the factored form of the polynomial.
3. Checking the factored form using the distributive property verifies the correct factorization.
51554 0131469657 ism-13
1. This document provides a review of concepts and sample problems related to multiple integrals. It covers topics such as iterated integrals, changing the order of integration, and evaluating double integrals over various regions.
2. The problem set contains 14 problems evaluating double integrals over different regions using techniques like iterated integration and changing the order of integration.
3. Multiple integrals are used to find volumes, masses, moments, and other physical quantities over regions in 2D and 3D space. The document demonstrates how to set up and evaluate multiple integrals to solve applied problems.
51542 0131469657 ism-1
This document contains an instructor's resource manual for limits concepts with examples and problem sets. It includes definitions of limits, worked examples of limit calculations, and limit problems to solve.
1. limits
This document contains an instructor's resource manual for limits concepts with examples and problem sets. It includes definitions of limits, worked examples of limit calculations, and limit problems to solve.
Modul 3 quadratic function
This document provides information about quadratic functions including:
1) The general form of a quadratic function is f(x) = ax2 + bx + c, where a, b, c are constants and a ≠ 0.
2) Characteristics of quadratic functions include involving one variable only and the highest power of the variable being 2.
3) Examples are provided to demonstrate recognizing quadratic and non-quadratic functions based on their form.
Similar to comp diff (20)
Solution Manual : Chapter - 07 Exponential, Logarithmic and Inverse Trigonome...
Solution Manual : Chapter - 07 Exponential, Logarithmic and Inverse Trigonome...
College algebra 7th edition by blitzer solution manual
College algebra 7th edition by blitzer solution manual
Recently uploaded
一比一原版新西兰奥塔哥大学毕业证（otago毕业证）如何办理
一模一样【微信：A575476】【新西兰奥塔哥大学毕业证（otago毕业证）成绩单Offer】【微信：A575476】（留信学历认证永久存档查询）采用学校原版纸张、特殊工艺完全按照原版一比一制作（包括：隐形水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠，文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备，十五年致力于帮助留学生解决难题，业务范围有加拿大、英国、澳洲、韩国、美国、新加坡，新西兰等学历材料，包您满意。
【业务选择办理准则】
一、工作未确定，回国需先给父母、亲戚朋友看下文凭的情况，办理一份就读学校的毕业证【微信：A575476】文凭即可
二、回国进私企、外企、自己做生意的情况，这些单位是不查询毕业证真伪的，而且国内没有渠道去查询国外文凭的真假，也不需要提供真实教育部认证。鉴于此，办理一份毕业证【微信：A575476】即可
三、进国企，银行，事业单位，考公务员等等，这些单位是必需要提供真实教育部认证的，办理教育部认证所需资料众多且烦琐，所有材料您都必须提供原件，我们凭借丰富的经验，快捷的绿色通道帮您快速整合材料，让您少走弯路。
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
→ 【关于价格问题（保证一手价格）
我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子 我给客户的都是第一手的代理价格，因为我想坦诚对待大家 不想跟大家在价格方面浪费时间
对于老客户或者被老客户介绍过来的朋友，我们都会适当给一些优惠。
选择实体注册公司办理，更放心，更安全！我们的承诺：可来公司面谈，可签订合同，会陪同客户一起到教育部认证窗口递交认证材料，客户在教育部官方认证查询网站查询到认证通过结果后付款，不成功不收费！
4 Benefits of Partnering with an OnlyFans Agency for Content Creators.pdf
In the competitive world of content creation, standing out and maximising revenue on platforms like OnlyFans can be challenging. This is where partnering with an OnlyFans agency can make a significant difference. Here are five key benefits for content creators considering this option:
The Genesis of BriansClub.cm Famous Dark WEb Platform
BriansClub.cm, a famous platform on the dark web, has become one of the most infamous carding marketplaces, specializing in the sale of stolen credit card data.
The Most Inspiring Entrepreneurs to Follow in 2024.pdf
In a world where the potential of youth innovation remains vastly untouched, there emerges a guiding light in the form of Norm Goldstein, the Founder and CEO of EduNetwork Partners. His dedication to this cause has earned him recognition as a Congressional Leadership Award recipient.
Best practices for project execution and delivery
A select set of project management best practices to keep your project on-track, on-cost and aligned to scope. Many firms have don't have the necessary skills, diligence, methods and oversight of their projects; this leads to slippage, higher costs and longer timeframes. Often firms have a history of projects that simply failed to move the needle. These best practices will help your firm avoid these pitfalls but they require fortitude to apply.
Part 2 Deep Dive: Navigating the 2024 Slowdown
Introduction
The global retail industry has weathered numerous storms, with the financial crisis of 2008 serving as a poignant reminder of the sector's resilience and adaptability. However, as we navigate the complex landscape of 2024, retailers face a unique set of challenges that demand innovative strategies and a fundamental shift in mindset. This white paper contrasts the impact of the 2008 recession on the retail sector with the current headwinds retailers are grappling with, while offering a comprehensive roadmap for success in this new paradigm.
TIMES BPO: Business Plan For Startup Industry
Starting a business is like embarking on an unpredictable adventure. It’s a journey filled with highs and lows, victories and defeats. But what if I told you that those setbacks and failures could be the very stepping stones that lead you to fortune? Let’s explore how resilience, adaptability, and strategic thinking can transform adversity into opportunity.
The Steadfast and Reliable Bull: Taurus Zodiac Sign
Explore the steadfast and reliable nature of the Taurus Zodiac Sign. Discover the personality traits, key dates, and horoscope insights that define the determined and practical Taurus, and learn how their grounded nature makes them the anchor of the zodiac.
Innovative Uses of Revit in Urban Planning and Design
Discover innovative uses of Revit in urban planning and design, enhancing city landscapes with advanced architectural solutions. Understand how architectural firms are using Revit to transform how processes and outcomes within urban planning and design fields look. They are supplementing work and putting in value through speed and imagination that the architects and planners are placing into composing progressive urban areas that are not only colorful but also pragmatic.
DearbornMusic-KatherineJasperFullSailUni
My powerpoint presentation for my Music Retail and Distribution class at Full Sail University
The APCO Geopolitical Radar - Q3 2024 The Global Operating Environment for Bu...
The Radar reflects input from APCO’s teams located around the world. It distils a host of interconnected events and trends into insights to inform operational and strategic decisions. Issues covered in this edition include:
Digital Marketing with a Focus on Sustainability
Digital Marketing best practices including influencer marketing, content creators, and omnichannel marketing for Sustainable Brands at the Sustainable Cosmetics Summit 2024 in New York
Innovation Management Frameworks: Your Guide to Creativity & Innovation
Innovation Management Frameworks: Your Guide to Creativity & InnovationOperational Excellence Consulting
[To download this presentation, visit:
https://www.oeconsulting.com.sg/training-presentations]
This PowerPoint compilation offers a comprehensive overview of 20 leading innovation management frameworks and methodologies, selected for their broad applicability across various industries and organizational contexts. These frameworks are valuable resources for a wide range of users, including business professionals, educators, and consultants.
Each framework is presented with visually engaging diagrams and templates, ensuring the content is both informative and appealing. While this compilation is thorough, please note that the slides are intended as supplementary resources and may not be sufficient for standalone instructional purposes.
This compilation is ideal for anyone looking to enhance their understanding of innovation management and drive meaningful change within their organization. Whether you aim to improve product development processes, enhance customer experiences, or drive digital transformation, these frameworks offer valuable insights and tools to help you achieve your goals.
INCLUDED FRAMEWORKS/MODELS:
1. Stanford’s Design Thinking
2. IDEO’s Human-Centered Design
3. Strategyzer’s Business Model Innovation
4. Lean Startup Methodology
5. Agile Innovation Framework
6. Doblin’s Ten Types of Innovation
7. McKinsey’s Three Horizons of Growth
8. Customer Journey Map
9. Christensen’s Disruptive Innovation Theory
10. Blue Ocean Strategy
11. Strategyn’s Jobs-To-Be-Done (JTBD) Framework with Job Map
12. Design Sprint Framework
13. The Double Diamond
14. Lean Six Sigma DMAIC
15. TRIZ Problem-Solving Framework
16. Edward de Bono’s Six Thinking Hats
17. Stage-Gate Model
18. Toyota’s Six Steps of Kaizen
19. Microsoft’s Digital Transformation Framework
20. Design for Six Sigma (DFSS)
To download this presentation, visit:
https://www.oeconsulting.com.sg/training-presentationsBest Competitive Marble Pricing in Dubai - ☎ 9928909666
Stone Art Hub offers the best competitive Marble Pricing in Dubai, ensuring affordability without compromising quality. With a wide range of exquisite marble options to choose from, you can enhance your spaces with elegance and sophistication. For inquiries or orders, contact us at ☎ 9928909666. Experience luxury at unbeatable prices.
Brian Fitzsimmons on the Business Strategy and Content Flywheel of Barstool S...
On episode 272 of the Digital and Social Media Sports Podcast, Neil chatted with Brian Fitzsimmons, Director of Licensing and Business Development for Barstool Sports.
What follows is a collection of snippets from the podcast. To hear the full interview and more, check out the podcast on all podcast platforms and at www.dsmsports.net
Dpboss Matka Guessing Satta Matta Matka Kalyan Chart Indian Matka
Dpboss Matka Guessing Satta Matta Matka Kalyan Chart Indian Matka➒➌➎➏➑➐➋➑➐➐Dpboss Matka Guessing Satta Matka Kalyan Chart Indian Matka
9356872877Sattamatka.satta.matka.satta matka.kalyan weekly chart.kalyan chart.kalyan jodi chart.kalyan penal chart.kalyan today.kalyan open.fix satta.fix fix fix Satta matka nambar.Best Forex Brokers Comparison in INDIA 2024
Navigating the world of forex trading can be challenging, especially for beginners. To help you make an informed decision, we have comprehensively compared the best forex brokers in India for 2024. This article, reviewed by Top Forex Brokers Review, will cover featured award winners, the best forex brokers, featured offers, the best copy trading platforms, the best forex brokers for beginners, the best MetaTrader brokers, and recently updated reviews. We will focus on FP Markets, Black Bull, EightCap, IC Markets, and Octa.
Recently uploaded (20)
4 Benefits of Partnering with an OnlyFans Agency for Content Creators.pdf
4 Benefits of Partnering with an OnlyFans Agency for Content Creators.pdf
The Genesis of BriansClub.cm Famous Dark WEb Platform
The Genesis of BriansClub.cm Famous Dark WEb Platform
The Most Inspiring Entrepreneurs to Follow in 2024.pdf
The Most Inspiring Entrepreneurs to Follow in 2024.pdf
The Steadfast and Reliable Bull: Taurus Zodiac Sign
The Steadfast and Reliable Bull: Taurus Zodiac Sign
Innovative Uses of Revit in Urban Planning and Design
Innovative Uses of Revit in Urban Planning and Design
The APCO Geopolitical Radar - Q3 2024 The Global Operating Environment for Bu...
The APCO Geopolitical Radar - Q3 2024 The Global Operating Environment for Bu...
Innovation Management Frameworks: Your Guide to Creativity & Innovation
Innovation Management Frameworks: Your Guide to Creativity & Innovation
Best Competitive Marble Pricing in Dubai - ☎ 9928909666
Best Competitive Marble Pricing in Dubai - ☎ 9928909666
Brian Fitzsimmons on the Business Strategy and Content Flywheel of Barstool S...
Brian Fitzsimmons on the Business Strategy and Content Flywheel of Barstool S...
Dpboss Matka Guessing Satta Matta Matka Kalyan Chart Indian Matka
Dpboss Matka Guessing Satta Matta Matka Kalyan Chart Indian Matka
comp diff
- 2. f(x) = x 2 x x 2 2 4 7 49 g(x) = x + 1 2 3
- 3. f(g(x)) f(x) = x 2 g(x) (g(x)) 2 x g(x) = x + 1 x x+1 (x+1) 2
- 5. f x x f x ( ) ( ) ( ) ? = + Þ ¢ = 1 2 f x x x x ( ) ( ) = + = + + 1 2 1 2 2 Þ ¢ = + f x x ( ) 2 2 f x x f x ( ) ( ) ( ) ? = + Þ ¢ = 3 2 f x x x x ( ) ( ) = + = + + 3 6 9 2 2 Þ ¢ = + f x x ( ) 2 6 = + 2 1 ( ) x = + 2 3 ( ) x
- 6. f x x f x x ( ) ( ) ( ) ( ) = + Þ ¢ = + 1 2 1 2 f x x f x ( ) ( ) ( ) = + Þ ¢ = 7 2 f x x f x x ( ) ( ) ( ) ( ) = + Þ ¢ = + 3 2 3 2 2 7 ( ) x + f x x x x f x x x ( ) ( ) ( ) ( ) = + = + + Þ ¢ = + = + 7 14 7 2 14 2 7 2 2
- 7. f x x f x ( ) ( ) ( ) = + Þ ¢ = 2 3 2 2 2 3 ( ) x + 2 5 2 ( ) x + f x x x x x x f x x x ( ) ( ) ( )( ) ( ) ( ) = + = + + = + + Þ ¢ = + = + 2 3 2 3 2 3 4 12 9 8 12 4 2 3 2 2 Oops f x x x x f x x x ( ) ( ) ( ) ( ) = + = + + Þ ¢ = + = + 5 2 25 20 4 50 40 10 5 2 2 2 Oops again = + 2 2 2 3 . ( ) x = + 5 2 5 2 . ( ) x f x x f x ( ) ( ) ( ) = + Þ ¢ = 5 2 2
- 8. f x x f x ( ) ( ) ( ) = + Þ ¢ = 7 3 2 7 2 7 3 . ( ) x + f x x x x f x x x x ( ) ( ) ( ) ( ) . ( ) = + = + + Þ ¢ = + = + = + 7 3 49 42 9 98 42 14 7 3 7 2 7 3 2 2 f x x f x ( ) ( ) ( ) = + Þ ¢ = 2 1 3 2 3 2 1 2 . ( ) x + f x x x x x f x x x x x x x ( ) ( ) ( ) ( ) ( ) . ( ) = + = + + + Þ ¢ = + + = + + = + = + 2 1 8 12 6 1 24 24 6 6 4 4 1 6 2 1 2 3 2 1 3 3 2 2 2 2 2
- 9. f x x ( ) ( ) = + 2 2 1 f x x x x f x x x ( ) ( ) ( ) = + = + + Þ ¢ = + 2 2 4 2 3 1 2 1 4 4 = + = + 4 1 2 2 1 2 2 x x x x ( ) . ( )
- 10. f(x)= ( 2x + 3 ) 2 ⇒fʹ(x) = 2 . 2 (2x+3) 1 f(x) = ( 7x + 3 ) 2 ⇒fʹ(x) = 7 . 2 (7x + 3) 1 f(x) = ( 2x + 1 ) 3 ⇒ fʹ(x) = 2 . 3 (x + 1) 2 f(x) = ( x 2 + 1 ) 2 ⇒ fʹ(x) = 2x . 2 (x 2 + 1) 1 f(x) = ( x 3 + 3x 2 - 4x + 1 ) 7 ⇒ fʹ(x) = (3x 2 + 6x -4) . 7 (x 3 + 3x 2 -4x + 1) 6