1. The problem statement, all variables and given/known data Find the Taylor series of e^(x^2) about x=0 2. Relevant equations Taylor Series = f(a) +f'(a)(x-a) + (f''(a)(x-a)^2)/2 ........ 3. The attempt at a solution So, the first term is pretty obvious. It's e^0^2, which is zero. The second term is what got me. (e^x^2)'=2x*(e^x^2), so at zero that is zero. Multiply by x, still zero. But the answer key says the second term is x^2. I really cannot understand this. Thanks!