Derivative of f(x)=e^x^2?

1 Answer
Mar 29, 2018

#f'(x)=2xe^(x^2)#

Explanation:

We have a chain rule we have the outside function #f(u)=e^u#

and the inside function #u=x^2#

Chain rule is derive both functions and then multiply the derivatives

so #f'(u)*u'#

#f'(u)=e^u#
#u'=2x#

Mutply derivatives

#2xe^u=2xe^(x^2)=f'(x)#