Calculus Examples

$x^{5} \cdot \frac{1}{15 x^{5}}$

Step 1

Simplify terms.

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Step 1.1

Combine $x^{5}$ and $\frac{1}{15 x^{5}}$ .

$\frac{d}{d x} [\frac{x^{5}}{15 x^{5}}]$

Step 1.2

Cancel the common factor of $x^{5}$ .

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Step 1.2.1

Cancel the common factor.

$\frac{d}{d x} [\frac{x^{5}}{15 x^{5}}]$

Step 1.2.2

Rewrite the expression.

$\frac{d}{d x} [\frac{1}{15}]$

Step 2

Since $\frac{1}{15}$ is constant with respect to $x$ , the derivative of $\frac{1}{15}$ with respect to $x$ is $0$ .

$0$