F(x) = e^(2x) and g(x) = lnx. what is the derivative of f(g(x)) at x=e

[meredith]

Homework Statement

f(x) = e^(2x) and g(x) = lnx. what is the derivative of f(g(x)) at x=e

Homework Equations

dy/dx = f'g(x) x g'(x)

The Attempt at a Solution

i can't figure it out!

 

[Dick]

Try it! What's f'(x)? g'(x)? f'(g(x))?

 

[v0id19]

remember your chain rule:
$$[f(g(x))]'=f'(g(x))\cdot g'(x)$$
take each derivative separately and put it all together if it seems too complicated, that helps me a lot