Question

Find f'(x) f(x)÷1/(x-2)​

Answer 1

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

Explanation:

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

power rule + chain rule:

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

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