Calculus Examples

x y

$x y$

Step 1

Since

y

$y$ is constant with respect to

x

$x$ , the derivative of

x y

$x y$ with respect to

x

$x$ is

y \frac{d}{d x} [x]

$y \frac{d}{d x} [x]$ .

y \frac{d}{d x} [x]

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

Step 2

Differentiate using the Power Rule which states that

\frac{d}{d x} [x^{n}]

$\frac{d}{d x} [x^{n}]$ is

n x^{n - 1}

$n x^{n - 1}$ where

n = 1

$n = 1$ .

y \cdot 1

$y \cdot 1$

Step 3

Multiply

y

$y$ by

1

$1$ .

y

$y$

Enter a problem...

[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$