Calculus Examples

$y = \frac{1}{u}$

Step 1

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

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

Step 2

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

$- u^{- 2}$

Step 3

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

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