Find the derivative.
-y = 8x sin 17x
A) 136x cos 8x + 8 sin 17x
B) -136x cos 17x + 8 sin 17x
C) 136x cos 17x + 8 sin 17x
D) 136x cos 17x + sin 17x

Question

Quizplus · Accepted Answer

We use the product rule to find the derivative of y = 8x sin 17x.

y' = (8x)'sin 17x + 8x(sin 17x)'

y' = 8sin 17x + 8x(17cos 17x)

y' = 8(sin17x + 17x cos17x)

Therefore, the answer is 136x cos 17x + 8 sin 17x. We use the product rule to take the derivative of y = 8x sin 17x.
y' = 8(sin 17x + 17x cos 17x)
Simplifying further,
y' = 136x cos 17x + 8 sin 17x
Therefore, the correct answer is choice C.

Find the Derivative. -Y = 8x Sin 17x