Calculus Examples

$x y^{2}$

Step 1

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

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

Step 2

Differentiate using the Power Rule which states that $\frac{d}{d y} [y^{n}]$ is $n y^{n - 1}$ where $n = 2$ .

$x (2 y)$

Step 3

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

$2 x y$