Calculus Examples

$x^{- 5}$

Step 1

Differentiate using the Power Rule which states that $\frac{d}{d x} [x^{n}]$ is $n x^{n - 1}$ where $n = - 5$ .

$- 5 x^{- 6}$

Step 2

Simplify.

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Step 2.1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$- 5 \frac{1}{x^{6}}$

Step 2.2

Combine $- 5$ and $\frac{1}{x^{6}}$ .

$\frac{- 5}{x^{6}}$

Step 2.3

Move the negative in front of the fraction.

$- \frac{5}{x^{6}}$