Find the derivative of the function. $y = 2 \cos 5 x$
A) $y ^ { \prime } = - 10 \sin 5 x$
B) $y ^ { \prime } = 10 \sin 5 x$
C) $y ^ { \prime } = - 2 \sin 5 x$
D) $y ^ { \prime } = - 10 \cos 5 x$
E) $y ^ { \prime } = - 5 \sin 5 x$

Question

Quizplus · Accepted Answer

The derivative of $y = 2 \cos 5x$ with respect to $x$ is found using the chain rule. The derivative of $\cos(u)$ is $-\sin(u)$ and the derivative of $5x$ with respect to $x$ is $5$, so the derivative of $2 \cos 5x$ is $-10 \sin 5x$.

Find the Derivative of the Function y=2cos⁡5xy = 2 \cos 5 xy=2cos5x

Find the Derivative of the Function $y = 2 \cos 5 x$