Calculus Examples

$x y^{2}$

Step 1

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

Step 2

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

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

Step 3

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

$y^{2} \cdot 1$

Step 4

Multiply $y^{2}$ by $1$ .

$y^{2}$