Hi there!
[tex]\large\boxed{f''(x) = 2 - \frac{4}{x^{3}}}[/tex]
[tex]f(x) = x^2 - \frac{2}{x}[/tex]
Recall the power rule:
[tex]\frac{dy}{dx} x^n = nx^{n-1}[/tex]
Rewrite the function for ease of differentiation:
[tex]f(x) =x^2 - 2x^{-1}[/tex]
Use the power rule:
[tex]f'(x) = 2x + 2x^{-2}[/tex]
Take the derivative once more:
[tex]f''(x) = 2 - 4x^{-3}[/tex]
Rewrite:
[tex]f''(x) = 2 - \frac{4}{x^{3}}[/tex]
