Calculus Examples

$f (5) = 6 x {(x + 1)}^{2} {(x - 1)}^{2}$

Step 1

Replace the variable $x$ with $5$ in the expression.

$f (5) = 6 (5) {((5) + 1)}^{2} {((5) - 1)}^{2}$

Step 2

Simplify the result.

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Step 2.1

Multiply $6$ by $5$ .

$f (5) = 30 {((5) + 1)}^{2} {((5) - 1)}^{2}$

Step 2.2

Add $5$ and $1$ .

$f (5) = 30 \cdot (6^{2} {((5) - 1)}^{2})$

Step 2.3

Raise $6$ to the power of $2$ .

$f (5) = 30 \cdot (36 {((5) - 1)}^{2})$

Step 2.4

Multiply $30$ by $36$ .

$f (5) = 1080 {((5) - 1)}^{2}$

Step 2.5

Subtract $1$ from $5$ .

$f (5) = 1080 \cdot 4^{2}$

Step 2.6

Raise $4$ to the power of $2$ .

$f (5) = 1080 \cdot 16$

Step 2.7

Multiply $1080$ by $16$ .

$f (5) = 17280$

Step 2.8

The final answer is $17280$ .

$17280$

$17280$

Step 3

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