Derivative of Exponential Functions: Finding d(4e^5x)/dx

[musicmar]

Homework Statement

d(4^{e^5x})/dx

The Attempt at a Solution

e^5x(4e^5x-1)(e^5x)

or

(4^{e^5x})(ln4)

I found the above using two different methods. I don't know if either is right.
It is entirely possible that both are wrong.

 

[lurflurf]

Those are both wrong. You need to use the chain rule. Start with the exponential rule
[a^f(x)]'=log(a) a^f(x) f'(x)