Calculus Examples

$\frac{1}{t}$

Step 1

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

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

Step 2

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

$- t^{- 2}$

Step 3

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

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