Question

Find the derivative of the function.

s(x) = ln((x-5)^-2)

Answer 1

Use the chain rule. Are you familiar with that?

Answer 2

First, treat (x-5)^-2 as "u". You have to do (dy/du) (du/dx). So, derivative of ln u is 1/u and then multiply that by the derivative of u with respect to x.

Answer 3

so the derivative of x-5 is -2x-5