Calculus Examples

$f (9) = \frac{9}{{(x^{2} + 9)}^{\frac{3}{2}}}$

Step 1

Replace the variable $x$ with $9$ in the expression.

$f (9) = \frac{9}{{({(9)}^{2} + 9)}^{\frac{3}{2}}}$

Step 2

Simplify the result.

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Step 2.1

Simplify the denominator.

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Step 2.1.1

Raise $9$ to the power of $2$ .

$f (9) = \frac{9}{{(81 + 9)}^{\frac{3}{2}}}$

Step 2.1.2

Add $81$ and $9$ .

$f (9) = \frac{9}{90^{\frac{3}{2}}}$

Step 2.2

The final answer is $\frac{9}{90^{\frac{3}{2}}}$ .

$\frac{9}{90^{\frac{3}{2}}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{90^{\frac{3}{2}}}$

Decimal Form:

$0.01054092 \dots$

Step 4