Calculus Examples

$p \cdot p$

Step 1

Raise $p$ to the power of $1$ .

$\frac{d}{d p} [p^{1} p]$

Step 2

Raise $p$ to the power of $1$ .

$\frac{d}{d p} [p^{1} p^{1}]$

Step 3

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{d}{d p} [p^{1 + 1}]$

Step 4

Add $1$ and $1$ .

$\frac{d}{d p} [p^{2}]$

Step 5

Differentiate using the Power Rule which states that $\frac{d}{d p} [p^{n}]$ is $n p^{n - 1}$ where $n = 2$ .

$2 p$