Calculus Examples

$\frac{2 x}{3 y}$

Step 1

This derivative could not be completed using the chain rule. Mathway will use another method.

Step 2

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

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

Step 3

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

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

Step 4

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

$\frac{2}{3 y}$