If f(x)=(4x+8)^-2, Find f'(x)

3 answers

-2(4x+8)^-3 * 4 = -8(4x+8)^3
Write the composite function in the form f(g(x)). [Identify the inner function u=g(x) and the outer function y=f(u).] Then find the derivative dy/dx.

y=√sinx

√ is square root.
This has nothing to do with your previously posted question.

u(x) = g(x) = sin x
f(u) = sqrt u

y = sqrt(sinx) = sqrt[g(x)]