Question

Find second derivation for function f(x)=x²-(2/x)​

Answer 1

Hi there!

`\large\boxed{f''(x) = 2 - (4)/(x^(3))}`

`f(x) = x^2 - (2)/(x)`

Recall the power rule:

`(dy)/(dx) x^n = nx^(n-1)`

Rewrite the function for ease of differentiation:

`f(x) =x^2 - 2x^(-1)`

Use the power rule:

`f'(x) = 2x + 2x^(-2)`

Take the derivative once more:

`f''(x) = 2 - 4x^(-3)`

Rewrite:

`f''(x) = 2 - (4)/(x^(3))`