Calculus Examples

$\frac{1}{s}$

Step 1

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

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

Step 2

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

$- s^{- 2}$

Step 3

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

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