Calculus Examples

$9 p R^{2}$

Step 1

Since $9 p$ is constant with respect to $R$ , the derivative of $9 p R^{2}$ with respect to $R$ is $9 p \frac{d}{d R} [R^{2}]$ .

$9 p \frac{d}{d R} [R^{2}]$

Step 2

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

$9 p (2 R)$

Step 3

Simplify the expression.

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Step 3.1

Multiply $2$ by $9$ .

$18 p R$

Step 3.2

Reorder the factors of $18 p R$ .

$18 R p$