Calculus Examples

y = cot (x)

$y = \cot (x)$

Step 1

Differentiate both sides of the equation.

$\frac{d}{d x} (y) = \frac{d}{d x} (\cot (x))$

Step 2

The derivative of

$y$ with respect to

$x$ is

$y'$ .

$y'$

Step 3

The derivative of

$\cot (x)$ with respect to

$x$ is

$- \csc^{2} (x)$ .

$- \csc^{2} (x)$

Step 4

Reform the equation by setting the left side equal to the right side.

$y' = - \csc^{2} (x)$

Step 5

Replace

$y'$ with

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

$\frac{d y}{d x} = - \csc^{2} (x)$