Question

How do you find the derivative of `f(x)=-9/x`?

Answer 1

`9/x^2`

Explanation:

Begin by writing f(x)`=-9/x=-9x^-1`

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

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

`rArrd/dx(-9x^-1)=(-1)xx(-9)x^(-1-1)=9x^-2=9/x^2`