Differentiate y = sin 4x.
A) 2cos 4x
B) 4cos 2x
C) -4cos 4x
D) 4cos 4x
E) cos 4x

Name: Differentiate y = sin 4x. A) 2cos 4x B) 4cos 2x C) -4cos 4x D) 4cos 4x E) cos 4x
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Question

Quizplus · Accepted Answer

The derivative of $y = \sin(4x)$ with respect to $x$ is found using the chain rule. The derivative of $\sin(u)$ with respect to $u$ is $\cos(u)$, and the derivative of $4x$ with respect to $x$ is $4$. Therefore, the derivative of $y$ with respect to $x$ is $4\cos(4x)$.

Differentiate Y = Sin 4x