Calculus Examples

$f (4) = \frac{x^{2}}{(2 + x)}$

Step 1

Replace the variable $x$ with $4$ in the expression.

$f (4) = \frac{{(4)}^{2}}{2 + 4}$

Step 2

Simplify the result.

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Step 2.1

Simplify the expression.

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Step 2.1.1

Remove parentheses.

$f (4) = \frac{{(4)}^{2}}{2 + 4}$

Step 2.1.2

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

$f (4) = \frac{16}{2 + 4}$

Step 2.1.3

Add $2$ and $4$ .

$f (4) = \frac{16}{6}$

$f (4) = \frac{16}{6}$

Step 2.2

Cancel the common factor of $16$ and $6$ .

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Step 2.2.1

Factor $2$ out of $16$ .

$f (4) = \frac{2 (8)}{6}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor $2$ out of $6$ .

$f (4) = \frac{2 \cdot 8}{2 \cdot 3}$

Step 2.2.2.2

Cancel the common factor.

$f (4) = \frac{2 \cdot 8}{2 \cdot 3}$

Step 2.2.2.3

Rewrite the expression.

$f (4) = \frac{8}{3}$

$f (4) = \frac{8}{3}$

$f (4) = \frac{8}{3}$

Step 2.3

The final answer is $\frac{8}{3}$ .

$\frac{8}{3}$

$\frac{8}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{3}$

Decimal Form:

$2.\overline{6}$

Mixed Number Form:

$2 \frac{2}{3}$

Step 4

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