Question

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

Answer 1

Hi there!

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

$f(x) = x^2 - \frac{2}{x}$

Recall the power rule:

$\frac{dy}{dx} x^n = nx^{n-1}$

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:

$f''(x) = 2 - \frac{4}{x^{3}}$