Question

How do you find the derivative of `1/x`?

Answer 1

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

Explanation:

We use the power rule for differentiation which is

`d/dx(x^n) = nx^(n-1) AA x in RR, n in RR` where `n` is constant

So,

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