Question

what is the derivative of (e^sin(x))^(e^sin(x))?

Answer 1

e^(sin(x))*(e^sin(x))'
e^(sin(x))*e*cos(x)

Answer 2

e*cos(x)*e*cos(x)

Answer 3

i've tried to do logarithmic differentiation, and this is what the equation looked like:

\[\ln y = e ^{\sin x} \ln e ^{\sin x}\]

i'm stumped because i don't know if i can turn the ln thing to \[\sin x \ln e\]

Answer 4

(e^(sin(x))^((e^sin(x))+1)\[(e ^{\sin(x)})^{e ^{\sin(x)}+1}\cos(x)(\log(e ^{\sin(x)})+1)\]

Answer 5

Coreyvaughn, may I please see your solution?

Answer 6

sure...hold on...

Answer 7

A little more...upright.