Find the Derivative of the function.

Question

Find the derivative of the function.

f(u) = (2u + 2)^3/2 + (u² − 4)^-3/2

Answer 1

This is a chain rule problem. Remember that d\dx(f(g(x)))=f'(g)xg'(x). Therefore,

f'(u)=3/2(2u+2)^1/2(2)-3/2(u²-4)^-5/2(2u).