Calculus Examples

$\frac{d^{2}}{d r^{2}} \cdot (π r^{2})$

Step 1

Rewrite using the commutative property of multiplication.

$π \frac{d^{2}}{d r^{2}} r^{2}$

Step 2

Cancel the common factor of $d^{2}$ and $d$ .

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Step 2.1

Factor $d$ out of $d^{2}$ .

$π \frac{d \cdot d}{d r^{2}} r^{2}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $d$ out of $d r^{2}$ .

$π \frac{d \cdot d}{d (r^{2})} r^{2}$

Step 2.2.2

Cancel the common factor.

$π \frac{d \cdot d}{d r^{2}} r^{2}$

Step 2.2.3

Rewrite the expression.

$π \frac{d}{r^{2}} r^{2}$

$π \frac{d}{r^{2}} r^{2}$

$π \frac{d}{r^{2}} r^{2}$

Step 3

Combine $π$ and $\frac{d}{r^{2}}$ .

$\frac{π d}{r^{2}} r^{2}$

Step 4

Cancel the common factor of $r^{2}$ .

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Step 4.1

Cancel the common factor.

$\frac{π d}{r^{2}} r^{2}$

Step 4.2

Rewrite the expression.

$π d$

$π d$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$