Calculus Examples

$V = π r^{2} h$

Step 1

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

$π r^{2} \frac{d}{d h} [h]$

Step 2

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

$π r^{2} \cdot 1$

Step 3

Simplify the expression.

Tap for more steps...

Step 3.1

Multiply $π$ by $1$ .

$r^{2} \cdot π$

Step 3.2

Reorder the factors of $r^{2} π$ .

$π r^{2}$