Question

Please help, how do you take the derivative of the following function?
f(x)=e^(x^2)

Answer 1

\[f(x)=e ^{x ^{2}}\]

Answer 2

using chain rule, know what is it ?

Answer 3

yes but I am not sure how to use it in this case.

Answer 4

what is the derivative of e^x ?

Answer 5

e^x

Answer 6

so, derivative of e^(x^2) will be just e^(x^2) but multiplied by derivative of (x^2) also, because of the chain rule.

Answer 7

\[2xe ^{x ^{2}}\]

Answer 8

absolutely correct! :)

Answer 9

any doubts ?