Calculus Examples

$e^{- \ln (x)}$

Step 1

Simplify $- \ln (x)$ by moving $- 1$ inside the logarithm.

$e^{\ln (x^{- 1})}$

Step 2

Exponentiation and log are inverse functions.

$x^{- 1}$

Step 3

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

$\frac{1}{x}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$