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

1 Answer

Apr 1, 2018

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

Explanation:

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)#

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