1. The problem statement, all variables and given/known data I'm supposed to find the derivative of 2^x using the definition of a derivative. I am really confused as to how I can factor out the h. 2. Relevant equations y=2^x 3. The attempt at a solution limit as h->0 in all of these, I don't want to write it out because it's going to look even worse (didn't want to learn latex right this moment). dy/dx=(2^(x+h)-2^x)/h dy/dx=(2^x*(2^h-1))/h This is as far as I got and I'm not even sure if it was useful to factor out 2^x Hopefully there is a rule for exponents that I'm not aware of that can be used for this.