Question

differentiate with respect to x
4e^cos2x

Answer 1

Chain rule.

Answer 2

\[\Large \dfrac{d}{dx}e^u = u'e^u\]

Answer 3

Do you know chain rule, @Nutty ?

Answer 4

Ya

Answer 5

Well, use it. Can you do it?

Answer 6

You'll have to use the chain rule twice on this one.

Answer 7

Yaa

Answer 8

let u=cos 2x, then\[4e^{\cos 2x}=4e^u\]

Answer 9

so,\[\frac{d}{dx}4e^u=4u'e^u\]

Answer 10

The only thing you need to figure out is u'
What is u'?