Question

What is the derivative of `1/(x-3)`?

Answer 1

`- (1) / ((x - 3)^(2))`

Explanation:

We have: `(1) / (x - 3)`

This expression can be differentiated using the "quotient rule":

`(d) / (dx) ((1) / (x - 3)) = ((x - 3) cdot (0) - (1) cdot (1)) / ((x - 3)^(2))`

`(d) / (dx) ((1) / (x - 3)) = - (1) / ((x - 3)^(2))`