What is the derivative of e^(2x) i am confused because the derivative e^x is e^x. but they say you need to use the chain rule. which is f'(g(x))*g'(x). i have used that on exponents but in this i just get, 2x * e^(2x-1) *e which is not the answer =/

Using the chain rule: The derivative of e^u is (e^u)(u').  Notice that e^u is rewritten exactly as is and then multiplied by the derivative of the exponent.  
Let u=2x. So u'=2  
So the derivative of e^u is e^(2x)*2 This can also be written as 2e^(2x).