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.