Question

How do you use the quotient rule to differentiate `f(x)= 4/(x-2)`?

Answer 1

`f'(x)=-4/(x-2)^2`

Explanation:

Writing `f(x)=4(x-2)^(-1)` we get after the power rule
`(x^n)'=nx^(n-1)`
`f'(x)=-4(x-2)^(-2)`