Question

What’s the derivative of -1/x

Answer 1

`(1)/(x^2)`

Explanation:

Differentiate using the power rule

`(d)/(dx)`(a
`x^(n)`) = na
`x^(n-1)`

Given

f(x) = -
`(1)/(x)` = -
`x^(-1)`, then

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