Calculus Examples

$\frac{1}{z}$

Step 1

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

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

Step 2

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

$- z^{- 2}$

Step 3

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

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