# Thread: What is the derivative of e^x^3

1. ## What is the derivative of e^x^3

HI

I have 5 textbooks and can't seem to find an answer to what is the derivative of

e to the x power cubed e^x^3
3
x
e

Hopefully you understand what I am asking.

My first thought is 3x^2 but I appreciate a knowledgeable voice.

Thanks

2. Originally Posted by calcbeg
HI

I have 5 textbooks and can't seem to find an answer to what is the derivative of

e to the x power cubed e^x^3
3
x
e

Hopefully you understand what I am asking.

My first thought is 3x^2 but I appreciate a knowledgeable voice.

Thanks
Let $f(x) = e^x$ this means $f(x^3) = e^{x^3}$.
If you define $g(x) = f(x^3)$ you want to find $g'(x)$.
Thus, $g'(x) = (x^3)' f ' (x^3) = 3x^2 f(x^3) = 3x^2e^{x^3}$.