Derivative of e^(t^2) with respect to t

[kev558]

Homework Statement

Find the derivative of e^(t^2) with respect to the variable t.

Homework Equations

Chain Rule

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.

Thanks in advance.
Kev

 

[╔(σ_σ)╝]

It is the same thing since ln(e)=1.

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