Find the derivative of the function

Question

Find the derivative of the function.

f(x) = e^x2 + 2

f '(x) = 

 

 

Answer 1

The general derivative of e^u is e^u * du

In this case, you have e^{x^2+2} (I'm guessing, based on formatting)

If so, then the u in your equation is x²+2

u = x²+2

du = 2xdx

That means your derivative is

e^u * du, which equals

e^{x^2+2} * 2xdx

or

2xe^{x^2+2} dx