Calculus Examples

$\frac{2}{2 t}$

Step 1

Reduce the expression by cancelling the common factors.

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Step 1.1

Cancel the common factor of $2$ .

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Step 1.1.1

Cancel the common factor.

$\frac{d}{d t} [\frac{2}{2 t}]$

Step 1.1.2

Rewrite the expression.

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

Step 1.2

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 $b^{- n} = \frac{1}{b^{n}}$ .

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