Let f(x)=e2x, where e is the exponential function. So the f′(x) is: f′(x)=lim I don't know how to finish from here. I believe the next step is to remove the h in the denominator which means I need to factor out the h in the numerator but I am not sure how to do it as that h is an exponent of an exponent. I know I can use the chain rule to arrive at e^{2^x}2^x\ln 2 but I would like to try it this way for practice.
