Calculus Examples

$p r^{2} h$

Step 1

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

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

Step 2

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

$p h (2 r)$

Step 3

Reorder.

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Step 3.1

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

$2 \cdot (p h) r$

Step 3.2

Reorder the factors of $2 p h r$ .

$2 h p r$