Calculus Examples

$x \frac{2}{3}$

Step 1

Combine fractions.

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Step 1.1

Combine $x$ and $\frac{2}{3}$ .

$\frac{d}{d x} [\frac{x \cdot 2}{3}]$

Step 1.2

Move $2$ to the left of $x$ .

$\frac{d}{d x} [\frac{2 \cdot x}{3}]$

Step 2

Since $\frac{2}{3}$ is constant with respect to $x$ , the derivative of $\frac{2 x}{3}$ with respect to $x$ is $\frac{2}{3} \frac{d}{d x} [x]$ .

$\frac{2}{3} \frac{d}{d x} [x]$

Step 3

Differentiate using the Power Rule which states that $\frac{d}{d x} [x^{n}]$ is $n x^{n - 1}$ where $n = 1$ .

$\frac{2}{3} \cdot 1$

Step 4

Multiply $\frac{2}{3}$ by $1$ .

$\frac{2}{3}$