Calculus Examples

$f (x) = \frac{2}{{(8)}^{3}}$

Step 1

Reduce the expression by cancelling the common factors.

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Step 1.1

Raise $8$ to the power of $3$ .

$\frac{d}{d x} [\frac{2}{512}]$

Step 1.2

Cancel the common factor of $2$ and $512$ .

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Step 1.2.1

Factor $2$ out of $2$ .

$\frac{d}{d x} [\frac{2 (1)}{512}]$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $2$ out of $512$ .

$\frac{d}{d x} [\frac{2 \cdot 1}{2 \cdot 256}]$

Step 1.2.2.2

Cancel the common factor.

$\frac{d}{d x} [\frac{2 \cdot 1}{2 \cdot 256}]$

Step 1.2.2.3

Rewrite the expression.

$\frac{d}{d x} [\frac{1}{256}]$

Step 2

Since $\frac{1}{256}$ is constant with respect to $x$ , the derivative of $\frac{1}{256}$ with respect to $x$ is $0$ .

$0$