Question

How do you differentiate `f(x) = 5/(x-7)` using the quotient rule?

Answer 1

`-5/(x-7)^2`

Explanation:

`f(x)=(N(x))/(D(x))`

`f'(x)=(N'(x)*D(x)-D'(x)*N(x))/((D(x))^2)`

`f'(x)=(0*(x-7)-1*5)/(x-7)^2=-5/(x-7)^2`