Calculus Examples

$2 x^{2} y$

Step 1

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

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

Step 2

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

$2 y (2 x)$

Step 3

Simplify the expression.

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Step 3.1

Multiply $2$ by $2$ .

$4 y x$

Step 3.2

Reorder the factors of $4 y x$ .

$4 x y$