Question

derivada
$f(x) = \frac{5}{x}$
​

Answer 1

Respuesta:

$f(x)=\frac{5}{x}$

$f'(x)=-\frac{5}{x^{2}}$

Explicación paso a paso:

$f(x)=\frac{5}{x}$

Derivando:

$f(x)=\frac{5}{x}$

$f(x)=5x^{-1}$

$\frac{d}{dx}(f(x))=\frac{d}{dx}(5x^{-1})$

$f'(x)=5\frac{d}{dx}(x^{-1})$

$f'(x)=5*(-1*x^{-1-1})*\frac{d}{dx}(x)$

$f'(x)=5*(-1*x^{-2})*1$

$f'(x)=-5x^{-2}$

$f'(x)=-\frac{5}{x^{2}}$

Saludos