Find the derivative.
-y = 8 cos 8x
A) 8 sin 8x
B) 64 sin 8x
C) -64 sin 8x
D) -8 sin 8x

Name: Find the derivative. -y = 8 cos 8x A) 8 sin 8x B) 64 sin 8x C) -64 sin 8x D) -8 sin 8x
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Question

Quizplus · Accepted Answer

The derivative of $y = 8 \cos(8x)$ with respect to $x$ is found using the chain rule. The derivative of $\cos(u)$ with respect to $u$ is $-\sin(u)$, and since $u = 8x$, the derivative of $u$ with respect to $x$ is $8$. Therefore, the derivative of $y$ with respect to $x$ is $8 \times -\sin(8x) = -64 \sin(8x)$.

Find the Derivative. -Y = 8 Cos 8x