#### Answer

The statement is false.

#### Work Step by Step

We will find the derivative using the Chain Rule:
$$g'(x)=(f(x)\sin x)'=f'(x)\cdot\sin x+f(x)\cdot(\sin x)'=
f'(x)\sin x+f(x)\cos(x)\neq f'(x)\cos x$$
So, the statement is false.

Published by
Wiley

ISBN 10:
0-47064-772-8

ISBN 13:
978-0-47064-772-1

The statement is false.

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