Calculus Examples

$x^{2} y$

Step 1

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

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

Step 2

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

$x^{2} \cdot 1$

Step 3

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

$x^{2}$