Respuesta :

Answer:

f'(x) = [tex]-\frac{1}{(x-2)^2}[/tex]

Step-by-step explanation:

f(x) = 1/(x-2) = (x-2)^(-1)

power rule + chain rule:

f'(x) = -(x-2)^(-2) * 1

f'(x) = [tex]-\frac{1}{(x-2)^2}[/tex]