derivative of-5/(x^4) — step-by-step solution

To ease differentiation, the expression

- \frac{5}{x^{4}}

is turned into

-5 x^{-4}

Let's perform the differentiation:

\frac{d}{d x} (-5 x^{-4})

Apply the differentiation rule:

\frac{d}{d x} (f^{n}) = n \cdot \frac{d}{d x} (f) \cdot f^{(n - 1)}

with f =

x

-5 \cdot (-4 x^{-5})

20 x^{-5}

▶Derivative:

\frac{20}{x^{5}}