Question

What is the derivative of `5/x^2`?

Answer 1

`-10/x^3`

Explanation:

Begin by expressing `5/x^2=5x^-2`

now differentiate using the `color(blue)"power rule"`

`d/dx(ax^n)=nax^(n-1)`

`rArrd/dx(5x^-2)=(-2)xx5x^(-2-1)=-10x^-3=-10/x^3`