Question

How do you use the power rule to differentiate `f(x)=x^3-x^2-5x+8-1/x^5`?

Answer 1

`f'(x) = 3x^2-2x-5+5/x^6`

Explanation:

`f(x) = x^3-x^2-5x+8-1/x^5`

`= x^3-x^2-5x+8-x^-5`

Applying the Power Rule

`f'(x) = 3x^2 - 2x -5 +0 - (-5)x^-6`

`= 3x^2-2x-5+5/x^6`