Calculus Examples

$v = \frac{1}{3} π r^{2} h$

Step 1

Combine fractions.

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Step 1.1

Combine $\frac{1}{3}$ and $π$ .

$\frac{d}{d v} [\frac{π}{3} r^{2} h]$

Step 1.2

Combine $\frac{π}{3}$ and $r^{2}$ .

$\frac{d}{d v} [\frac{π r^{2}}{3} h]$

Step 1.3

Combine $\frac{π r^{2}}{3}$ and $h$ .

$\frac{d}{d v} [\frac{π r^{2} h}{3}]$

Step 2

Since $\frac{π r^{2} h}{3}$ is constant with respect to $v$ , the derivative of $\frac{π r^{2} h}{3}$ with respect to $v$ is $0$ .

$0$