Question

Which of the following answers is correct for the derivative of y=e^(-6x)sin(5x) (see attachment)

Answer 1

Here is our setup for product rule:\[\Large y'\quad=\quad \color{royalblue}{(e^{-6x})'}\sin5x+e^{-6x}\color{royalblue}{(\sin5x)'}\]

Answer 2

The blue terms we need to take the derivative of.
Do you understand how to differentiate them?

Answer 3

yes, I derived and arrived at c. for an answer. Is that correct?

Answer 4

Yessss! Good job.

Answer 5

Super! Thanks!