derivative of f(x)=6e^2x

Question

find the derivative of 6e^2x

Answer 1

This is a chain rule problem. 

 

First you would take the derivative of the outside function. And since the derivative of any e^x function is the same thing, the derivitive of the outside function is just 6e^2x.

 

Then we need to take the derivative of the inside funtion, which is the 2x. The derivative of 2x is 2.

 

So, f'(x)=6e^(2x)*2

 

We can simplify this to 12e^(2x)