Math Problem Statement
Solution
The image you uploaded contains a set of exercises for calculating derivatives of various functions. I will break down the problems for you and assist in finding the solutions.
Let's go through each task in the image:
Задание 1 (Task 1)
Find the derivative of the following functions:
Задание 2 (Task 2)
Find the derivative of the following functions:
Задание 3 (Task 3)
Find the derivative of the following functions:
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Math Problem Analysis
Mathematical Concepts
Calculus
Derivatives
Product Rule
Quotient Rule
Chain Rule
Formulas
d/dx[x^n] = n*x^(n-1)
Product Rule: d/dx[u(x) * v(x)] = u'(x) * v(x) + u(x) * v'(x)
Quotient Rule: d/dx[u(x) / v(x)] = (v(x) * u'(x) - u(x) * v'(x)) / (v(x))^2
Chain Rule: d/dx[f(g(x))] = f'(g(x)) * g'(x)
Theorems
Power Rule
Product Rule
Quotient Rule
Chain Rule
Suitable Grade Level
Grades 10-12
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