Calculus Examples

$p {(\frac{36}{p})}^{2} (36)$

Step 1

Simplify the expression.

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Step 1.1

Apply the product rule to $\frac{36}{p}$ .

$p \frac{36^{2}}{p^{2}} \cdot 36$

Step 1.2

Raise $36$ to the power of $2$ .

$p \frac{1296}{p^{2}} \cdot 36$

$p \frac{1296}{p^{2}} \cdot 36$

Step 2

Cancel the common factor of $p$ .

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Step 2.1

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

$p \frac{1296}{p \cdot p} \cdot 36$

Step 2.2

Cancel the common factor.

$p \frac{1296}{p \cdot p} \cdot 36$

Step 2.3

Rewrite the expression.

$\frac{1296}{p} \cdot 36$

$\frac{1296}{p} \cdot 36$

Step 3

Multiply $\frac{1296}{p} \cdot 36$ .

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Step 3.1

Combine $\frac{1296}{p}$ and $36$ .

$\frac{1296 \cdot 36}{p}$

Step 3.2

Multiply $1296$ by $36$ .

$\frac{46656}{p}$

$\frac{46656}{p}$

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