differentiate 1/x — step-by-step solution

To ease differentiation, the expression

\frac{1}{x}

is turned into

x^{-1}

Let's differentiate:

{(x^{-1})}^{'}

We differentiate using:

{(f^{n})}^{'} = n \cdot {(f)}^{'} \cdot f^{(n - 1)}

(where f =

x

)

-1 \cdot x^{-2}

- x^{-2}

ℹ

- x^{-2}

\frac{1}{- x^{2}}

\frac{1}{- x^{2}}

▷Answer: $- \frac{1}{x^{2}}$