Answer
False.
Work Step by Step
The derivative using chain rule requires the entire derivative to be multiplied by the derivative of the inside function, so $\frac{dy}{dx} = -sin(g(x)) \times g'(x)$.
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 2 - The Derivative - 2.6 The Chain Rule - Exercises Set 2.6 - Page 159: 63
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