Calculus Examples

$\frac{1}{y}$

Step 1

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

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

Step 2

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

$- y^{- 2}$

Step 3

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

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