Calculus Examples

$f (20) = \frac{0.5 x}{x^{2} + 2}$

Step 1

Replace the variable $x$ with $20$ in the expression.

$f (20) = \frac{0.5 (20)}{{(20)}^{2} + 2}$

Step 2

Simplify the result.

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Step 2.1

Multiply $0.5$ by $20$ .

$f (20) = \frac{10}{20^{2} + 2}$

Step 2.2

Simplify the denominator.

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Step 2.2.1

Raise $20$ to the power of $2$ .

$f (20) = \frac{10}{400 + 2}$

Step 2.2.2

Add $400$ and $2$ .

$f (20) = \frac{10}{402}$

$f (20) = \frac{10}{402}$

Step 2.3

Cancel the common factor of $10$ and $402$ .

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Step 2.3.1

Factor $2$ out of $10$ .

$f (20) = \frac{2 (5)}{402}$

Step 2.3.2

Cancel the common factors.

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Step 2.3.2.1

Factor $2$ out of $402$ .

$f (20) = \frac{2 \cdot 5}{2 \cdot 201}$

Step 2.3.2.2

Cancel the common factor.

$f (20) = \frac{2 \cdot 5}{2 \cdot 201}$

Step 2.3.2.3

Rewrite the expression.

$f (20) = \frac{5}{201}$

$f (20) = \frac{5}{201}$

$f (20) = \frac{5}{201}$

Step 2.4

The final answer is $\frac{5}{201}$ .

$\frac{5}{201}$

$\frac{5}{201}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{201}$

Decimal Form:

$0.02487562 \dots$

Step 4

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