Question

hallar la derivada de
$f(x) = x - \frac{1}{x}$
​

Answer 1

Explicación:

$\frac{df(x)}{dx} = x - \frac{1}{x} \\ \frac{df(x)}{dx} = x - {x}^{ - 1} \\ \frac{df(x)}{dx} = 1 - ( - 1) {x}^{ - 1 - 1} \\ \frac{df(x)}{dx} = 1 + {x}^{ - 2} \\ \frac{df(x)}{dx} = 1 + \frac{1}{ {x}^{2} }$