What is the derivative of $e^(x^2)$ ?

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Answer 1 · 2018-04-01T19:25:02

$d/dxe^(x^2)=2xe^(x^2)$

In general, when applying the Chain Rule to the exponential,

$d/dxe^u=e^u(du)/dx$ .

Here, $u=x^2,$ so

$d/dxe^(x^2)=e^(x^2)d/dxx^2$

$d/dxe^(x^2)=2xe^(x^2)$

What is the derivative of e^(x^2)e^(x^2)?