Question

f(x)=4^cosx + e^x , find f'(x)

Answer 1

\[f'(x)= \ln(4) 4^{cosx} (-sinx) + e^x \]\[=-4^{cosx} \ln(4) sinx +e^x\]

Answer 2

Can you show steps?

Answer 3

\[\frac{d}{dx} A^{f(x)} = lnA \times A^{f(x)} \times f'(x)\]

Answer 4

and e^x is the same

Answer 5

http://openstudy.com/?F486443823888OWAFDL=_#/updates/4ec93881e4b095539996a25a

Answer 6

Thanks!