The document discusses how to find the original curve (primitive function) given the derivative (tangent line equation). It states that if the derivative is f'(x)=xn, then the primitive function is f(x)=(x^(n+1))/(n+1)+c. It provides examples such as if f'(x)=3x^4, then f(x)=3x^5/5+c. It also shows how to find the equation of a curve given its gradient function and a point it passes through.
The inverse of a function "undoes" the effect of the function. We look at the implications of that property in the derivative, as well as logarithmic functions, which are inverses of exponential functions.
The inverse of a function "undoes" the effect of the function. We look at the implications of that property in the derivative, as well as logarithmic functions, which are inverses of exponential functions.
A function is continuous at a point if the limit of the function at the point equals the value of the function at that point. Another way to say it, f is continuous at a if values of f(x) are close to f(a) if x is close to a. This property has deep implications, such as this: right now there are two points on opposites sides of the world with the same temperature!
A function is continuous at a point if the limit of the function at the point equals the value of the function at that point. Another way to say it, f is continuous at a if values of f(x) are close to f(a) if x is close to a. This property has deep implications, such as this: right now there are two points on opposites sides of the world with the same temperature!
The inverse of a function "undoes" the effect of the function. We look at the implications of that property in the derivative, as well as logarithmic functions, which are inverses of exponential functions.
The inverse of a function "undoes" the effect of the function. We look at the implications of that property in the derivative, as well as logarithmic functions, which are inverses of exponential functions.
A function is continuous at a point if the limit of the function at the point equals the value of the function at that point. Another way to say it, f is continuous at a if values of f(x) are close to f(a) if x is close to a. This property has deep implications, such as this: right now there are two points on opposites sides of the world with the same temperature!
A function is continuous at a point if the limit of the function at the point equals the value of the function at that point. Another way to say it, f is continuous at a if values of f(x) are close to f(a) if x is close to a. This property has deep implications, such as this: right now there are two points on opposites sides of the world with the same temperature!
Using implicit differentiation we can treat relations which are not quite functions like they were functions. In particular, we can find the slopes of lines tangent to curves which are not graphs of functions.
Using implicit differentiation we can treat relations which are not quite functions like they were functions. In particular, we can find the slopes of lines tangent to curves which are not graphs of functions.
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
How to Make a Field invisible in Odoo 17Celine George
It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
Model Attribute Check Company Auto PropertyCeline George
In Odoo, the multi-company feature allows you to manage multiple companies within a single Odoo database instance. Each company can have its own configurations while still sharing common resources such as products, customers, and suppliers.
Normal Labour/ Stages of Labour/ Mechanism of LabourWasim Ak
Normal labor is also termed spontaneous labor, defined as the natural physiological process through which the fetus, placenta, and membranes are expelled from the uterus through the birth canal at term (37 to 42 weeks
Biological screening of herbal drugs: Introduction and Need for
Phyto-Pharmacological Screening, New Strategies for evaluating
Natural Products, In vitro evaluation techniques for Antioxidants, Antimicrobial and Anticancer drugs. In vivo evaluation techniques
for Anti-inflammatory, Antiulcer, Anticancer, Wound healing, Antidiabetic, Hepatoprotective, Cardio protective, Diuretics and
Antifertility, Toxicity studies as per OECD guidelines
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
Macroeconomics- Movie Location
This will be used as part of your Personal Professional Portfolio once graded.
Objective:
Prepare a presentation or a paper using research, basic comparative analysis, data organization and application of economic information. You will make an informed assessment of an economic climate outside of the United States to accomplish an entertainment industry objective.
3. The Primitive Function
If we know the equation of the tangent, how do we find the original
curve?
If f x x n , then the primitive function is;
x n1
f x c
n 1
4. The Primitive Function
If we know the equation of the tangent, how do we find the original
curve?
If f x x n , then the primitive function is;
x n1
f x c
n 1
e.g. i f x 3x 4
5. The Primitive Function
If we know the equation of the tangent, how do we find the original
curve?
If f x x n , then the primitive function is;
x n1
f x c
n 1
e.g. i f x 3x 4
3x 5
f x c
5
6. The Primitive Function
If we know the equation of the tangent, how do we find the original
curve?
If f x x n , then the primitive function is;
x n1
f x c
n 1
e.g. i f x 3x 4
3x 5
f x c
5
ii f x 6 x3 5x 2 x 2
7. The Primitive Function
If we know the equation of the tangent, how do we find the original
curve?
If f x x n , then the primitive function is;
x n1
f x c
n 1
e.g. i f x 3x 4
3x 5
f x c
5
ii f x 6 x3 5x 2 x 2
6 x 4 5x3 x 2
f x 2x c
4 3 2
8. The Primitive Function
If we know the equation of the tangent, how do we find the original
curve?
If f x x n , then the primitive function is;
x n1
f x c
n 1
e.g. i f x 3x 4
3x 5
f x c
5
ii f x 6 x3 5x 2 x 2
6 x 4 5x3 x 2
f x 2x c
4 3 2
3 4 5 3 1 2
f x x x x 2x c
2 3 2
9. (iii) Find the equation of the curve which passes through (1,1) and has
a gradient function of 2x + 3
10. (iii) Find the equation of the curve which passes through (1,1) and has
a gradient function of 2x + 3
dy
2x 3
dx
11. (iii) Find the equation of the curve which passes through (1,1) and has
a gradient function of 2x + 3
dy
2x 3
dx
y x 2 3x c
12. (iii) Find the equation of the curve which passes through (1,1) and has
a gradient function of 2x + 3
dy
2x 3
dx
y x 2 3x c
when x = 1, y = 1
13. (iii) Find the equation of the curve which passes through (1,1) and has
a gradient function of 2x + 3
dy
2x 3
dx
y x 2 3x c
when x = 1, y = 1
i.e. 1 12 3 c
c 3
14. (iii) Find the equation of the curve which passes through (1,1) and has
a gradient function of 2x + 3
dy
2x 3
dx
y x 2 3x c
when x = 1, y = 1
i.e. 1 12 3 c
c 3
y x 2 3x 3
15. (iii) Find the equation of the curve which passes through (1,1) and has
a gradient function of 2x + 3
dy
2x 3
dx
y x 2 3x c
when x = 1, y = 1
i.e. 1 12 3 c
c 3
y x 2 3x 3
Exercise 10J; 1ace etc, 2bdf, 3aceg, 4bd, 5b, 7ac, 8bdf
9ace, 10b, 12bd, 14a, 15, 17a