Derivative of cot x

How to find the derivative of the given function by using the derivative of cot x: formula, 1 example, and its solution.

Formula

Formula

The derivative of cot x, [cot x]',
is -csc2 x.

Example

Example

Solution

7x cot x is the product of 7x and cot x.

So the derivative of the product is,
the derivative of 7x, 7
times cot x
plus
7x
times, the derivative of cot x, -csc2 x.

+7x⋅(-csc2 x) = -7x csc2 x

So 7 cot x - 7x csc2 x is the derivative of 7x cot x.