If H(θ) = θ sin θ, find H'(θ) and H"( θ).
To find: The value of
Answer to Problem 27E
The value of
Explanation of Solution
Given:
The function is
Formula used:
Product Rule:
If
Power Rule:
If n is positive integer, then the power rule is,
Sum Rule:
If
Calculation:
Obtain the first derivative of
Apply Product Rule as shown in equation (1).
Substitute
Apply Power Rule as shown in equation (2) as,
Thus, the first derivative of
Obtain the second derivative of
Apply Sum Rule as shown in equation (3).
Apply Product Rule as shown in equation (1).
Thus, the second derivative of
Therefore, the value of
Chapter 3 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
Additional Math Textbook Solutions
Precalculus: Mathematics for Calculus - 6th Edition
Finite Mathematics and Calculus with Applications (10th Edition)
Glencoe Math Accelerated, Student Edition
University Calculus
Precalculus
Precalculus: Mathematics for Calculus (Standalone Book)
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