# How do you differentiate  y=3e^4sinθ?

Feb 23, 2016

$3 {e}^{4} \cos \theta$

#### Explanation:

There are two important things to recognize here:

• $3 {e}^{4}$ is just a constant, which can be brought out of the differentiation.
• The derivative of $\sin \theta$ is $\cos \theta$.

So, we have

y'=d/(d theta)(3e^4sintheta)=3e^4d/(d theta)(sintheta)=color(red)(3e^4costheta