Question 328647
Find the derivative of {{{4*e^(x^3+1)}}}

This requires the chain rule. To put it simply, the chain rule is the derivative of the inside times the derivative of the outside.

What is the outside?. It is {{{4*e^(x^3+1)}}}

What is the inside?. It is {{{x^3+1}}}

Derivative of outside is just {{{4*e^(x^3+1)}}}

Derivative of inside: {{{3x^2}}}

Now, multiply them: {{{3x^2*4e^(x^3+1)=12x^2e^(x^3+1)}}}

That's it.