How do you find the derivative of y=e2x2+2x?

1 Answer
Apr 14, 2018

ddxe2x2+2x=(4x+2)e2x2+2x

Explanation:

This problem will require an application of the Chain Rule which, when applied to e raised to the power of some function u, tells us that

ddxeu=eududx

Here, u=2x2+2x, so we have

ddxe2x2+2x=e2x2+2xddx(2x2+2x)

ddx(2x2+2x)=4x+2, so we end up with

ddxe2x2+2x=(4x+2)e2x2+2x