This document discusses function derivatives and their calculation in several sections:
1. It defines the derivative of a function f(x) at a point x0 and provides formulas to calculate it.
2. It presents rules for finding derivatives of basic functions like polynomials, rational functions, and roots.
3. It introduces theorems for calculating derivatives of sums, products, and quotients of functions, as well as composite functions where one function is applied to another.
Examples are provided to demonstrate applying the rules and theorems to calculate derivatives.
This document discusses function derivatives and their calculation in several sections:
1. It defines the derivative of a function f(x) at a point x0 and provides formulas to calculate it.
2. It presents rules for finding derivatives of basic functions like polynomials, rational functions, and roots.
3. It introduces theorems for calculating derivatives of sums, products, and quotients of functions, as well as composite functions where one function is applied to another.
Examples are provided to demonstrate applying the rules and theorems to calculate derivatives.
This document discusses monomials, binomials, trinomials, and polynomials. It defines each term and provides examples. A monomial has one term, a binomial has two terms, a trinomial has three terms, and a polynomial can have any number of terms. The degree of a monomial or polynomial is determined by summing the exponents of its variables. The degree of a polynomial is the highest degree term after simplification.
2. o o
sin ∠ a = sin ∠ b =
Гип b Гип
Эсрэг катет
Эсрэг катет
h h
отн
уз отн
уз
a
Налсан катет Налсан катет
a
a b cos ∠ b =
Гип cos ∠ a = Гип
Эсрэг катет
h
Эсрэг катет
отн h отн
уз уз
a
Налсан катет Налсан катет
o o
Гип tan ∠ a = b Гип tan ∠ b =
Эсрэг катет
Эсрэг катет
отн a отн a
у з уз
a
Налсан катет Налсан катет
4. Find the cosine of a ° and the length of the opposite side
a° cosine = налсан катет/гипотнуз
Cos a ° = 20/25 =0.8
20
25
Cosine =0 .8 тул а- өнцөг 36.87 °.
a- өнцөг 36.87°.
Пифагорын теором ашиглавал.
эсрэг катет Sin a ° = эсрэг катет/гипотнуз
Sin 36.87° = эсрэг катет/25
0.6 = эсрэг катет/25
эсрэг катет = 15
5. Sin, cos, tg, ctg-ийн амьдралд ахуйд ашиглагддаг бодлого.
Чи модноос 50 м ийн зайд зогсоод Модны оройг 40 градусын ө нцгөө р харагдаж
Тангесийн томъёо ашиглая.
Tan 40° = эсрэг катет/налсан катет
0.8391 = эсрэг катет/50
Модны өндөр 42.95 м
40°
50
