Calculus Examples

$y = p r^{2}$

Step 1

Since $p$ is constant with respect to $r$ , the derivative of $p r^{2}$ with respect to $r$ is $p \frac{d}{d r} [r^{2}]$ .

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

Step 2

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

$p (2 r)$

Step 3

Move $2$ to the left of $p$ .

$2 p r$