Derivative of cot x

\frac{d}{dx}\left[\cot\left(x\right)\right] = -\csc^{2}\left(x\right)

cot x = cos x / sin x; the quotient rule gives −(sin²x + cos²x)/sin²x = −csc²x.

Trig rule
$\frac{d}{dx}\left[\cot\left(x\right)\right] = -\csc^{2}\left(x\right)$

Drag the graph · at x = 1.96 the slope is -1.1682, the height of the dashed curve.

Questions students ask

What is the derivative of cot x?

$\frac{d}{dx}\left[\cot\left(x\right)\right] = -\csc^{2}\left(x\right)$ .

How do you find the derivative of cot x?

cot x = cos x / sin x; the quotient rule gives −(sin²x + cos²x)/sin²x = −csc²x.

What is the integral of cot x?

Use the integral calculator to find the antiderivative of cot x step by step.