Where are the critical points of cot xcotx?

1 Answer
Nov 7, 2014

Let f(x)=cotx={cosx}/{sinx}f(x)=cotx=cosxsinx.

By taking the derivative,

f'(x)=-csc^2x=-1/{sin^2x} ne0

and

f' is always defined in the domain of f.

Hence, there is no critical point.


I hope that this was helpful.