Calculus Examples

$- p \ln (p) - (1 - p) \ln (1 - p)$

Step 1

Apply the distributive property.

$- p \ln (p) + (- 1 \cdot 1 - - p) \ln (1 - p)$

Step 2

Multiply $- 1$ by $1$ .

$- p \ln (p) + (- 1 - - p) \ln (1 - p)$

Step 3

Multiply $- - p$ .

Tap for more steps...

Step 3.1

Multiply $- 1$ by $- 1$ .

$- p \ln (p) + (- 1 + 1 p) \ln (1 - p)$

Step 3.2

Multiply $p$ by $1$ .

$- p \ln (p) + (- 1 + p) \ln (1 - p)$

$- p \ln (p) + (- 1 + p) \ln (1 - p)$

Step 4

Apply the distributive property.

$- p \ln (p) - 1 \ln (1 - p) + p \ln (1 - p)$

Step 5

Rewrite $- 1 \ln (1 - p)$ as $- \ln (1 - p)$ .

$- p \ln (p) - \ln (1 - p) + p \ln (1 - p)$

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