# Help with derivation

• March 19th 2010, 06:35 AM
tholterla
Help with derivation
Hi.

Derivative of the function
f(x)=xe^x^2
• March 19th 2010, 07:12 AM
Prove It
Quote:

Originally Posted by tholterla
Hi.

Derivative of the function
f(x)=xe^x^2

You'll need to use a combination of the product and chain rules.

$f(x) = x\,e^{x^2}$

$f'(x) = x\,(e^{x^2})' + e^{x^2}\,(x)'$

$= x(2x)(e^{x^2}) + e^{x^2}(1)$

$= 2x^2\,e^{x^2} + e^{x^2}$

$= e^{x^2}(2x^2 + 1)$