Let f and g be the functions in Exercise 63.
(a) If F(x) = f(f(x)), find F′(2).
(b) If G(x) = g(g(x)), find G′(3).
(a)
To find: The value
Answer to Problem 54E
The value
Explanation of Solution
Given:
The function is
Result used: Chain Rule:
If h is differentiable at x and g is differentiable at
Calculation:
Obtain the derivative of
Apply the chain rule as shown in equation (1),
Substitute
Consider the values from given table in exercise (63),
Consider the values from given table in exercise (63),
Therefore, the value
(b)
To find: The value
Answer to Problem 54E
The value
Explanation of Solution
Given:
The function is
Calculation:
Obtain the derivative of
Apply the chain rule as shown in equation (1),
Substitute
Consider the values from given table in exercise (63),
Consider the values from given table in exercise (63),
Therefore, the value
Chapter 3 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus (10th Edition)
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Precalculus
University Calculus
Precalculus: Mathematics for Calculus - 6th Edition
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