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

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

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.