Hi.

Can't seem to get this right. Can anyone please help me.

Derivative of the function

f(x)=xe^x^2

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- Mar 19th 2010, 05:35 AMtholterlaHelp with derivation
Hi.

Can't seem to get this right. Can anyone please help me.

Derivative of the function

f(x)=xe^x^2 - Mar 19th 2010, 06:12 AMProve It
You'll need to use a combination of the product and chain rules.

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

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

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

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

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