# Homework Help: Derivative of e^(t^2)

1. Sep 18, 2010

### kev558

1. The problem statement, all variables and given/known data
Find the derivative of e^(t^2) with respect to the variable t.

2. Relevant equations
Chain Rule

3. The attempt at a solution
Using chain rule, the answer should be e^(t^2)*2t, but when I used Maple to confirm my answer, the solution is 2*e^(t^2)*t*ln(e).
My train of thought starts by thinking of the exponential as e^x (where x = t^2), then I apply the chain rule on the exponents of e, so I get 2t; thus, giving me the solution e^(t^2)*2t.

Maple gave that answer because the derievative of $$a^{x}$$ is $$a^{x}lna$$.