Calculus Examples

$\frac{1}{n}$

Step 1

Rewrite $\frac{1}{n}$ as $n^{- 1}$ .

$\frac{d}{d n} [n^{- 1}]$

Step 2

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

$- n^{- 2}$

Step 3

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

$- \frac{1}{n^{2}}$