Math Help - Derivatives of Exponential and Logarithmic Functions

1. Derivatives of Exponential and Logarithmic Functions

Ok so i'm having some problems with problems like:

y=e^square root x

y=xe^2x

y=e^-x^2/x

can you give me some advice on how to remember the rules to solve these and maybe show me how to solve one? thanks

2. Exponentials with base "e" are my favorite derivatives (and anti-derivatives).

Use the chain rule on all of these, remembering that the derivative of e to any variable is just e to that variable times the derivative of the variable. So if F(x) is equal to e raised to something:
$F'(x) = G'(x)e^{G(x)}$