Calculus Examples

$f (x) = 6 x (\frac{24}{x})$

Step 1

Simplify terms.

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Step 1.1

Combine $6$ and $\frac{24}{x}$ .

$\frac{d}{d x} [x \frac{6 \cdot 24}{x}]$

Step 1.2

Multiply $6$ by $24$ .

$\frac{d}{d x} [x \frac{144}{x}]$

Step 1.3

Combine $x$ and $\frac{144}{x}$ .

$\frac{d}{d x} [\frac{x \cdot 144}{x}]$

Step 1.4

Move $144$ to the left of $x$ .

$\frac{d}{d x} [\frac{144 \cdot x}{x}]$

Step 1.5

Cancel the common factor of $x$ .

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Step 1.5.1

Cancel the common factor.

$\frac{d}{d x} [\frac{144 x}{x}]$

Step 1.5.2

Divide $144$ by $1$ .

$\frac{d}{d x} [144]$

Step 2

Since $144$ is constant with respect to $x$ , the derivative of $144$ with respect to $x$ is $0$ .

$0$