What is the Derivative of e^x^3

yes it is how it is written

I am assuming that the expression is y = e^(x³)

Since d/dx e^(f(x)) = f'(x)e^(f(x))

dy/dx = [x³]'e^(x³)
= 3x²e^(x³)

I hope this helps!

you need to use chain rule here. The chain rule says that: d/dx(f(g(x)) = f'(g(x)) * g'(x). So we first need to identify f and g. g is the inside function so it is x^3. f is the outside function so it is e^x. So what we need to do is take the derivative of x^3 and multiply it by the derivative with respect to e^y. Then we substitute back in for y, where y=x^3. (if it is easier for you y can be written as g(x)).

Therefore the answer is 3x^2*e^(x^3)

Any derivitive of e^x = e^x

So it's e^x^3