Question

Calculate the derivative of the function.

f(x) = (x+8)^-2

Answer 1

i tried (x+8)^-3 already

Answer 2

f(x) = (x+8)^-2
f'(x)=(-2)(x+8)^-3

Answer 3

This is just the regular differentiation rule:

The derivative of x^(-2) is -2*x^(-3).
In the same way, and as CoCo said, the derivative of (x+c)^(-2) is -2*(x+c)^(-3) for any constant c. This is easy to see by the u substitution u = x+c.

Answer 4

got it