Derivative of Composite Function/Examples/Logarithm of Cosecant of x

Example of Derivative of Composite Function

 * $\map {\dfrac \d {\d x} } {\ln \cosec x} = -\cot x$

Proof
Let $u = \cosec x$.

Let $y = \ln u$.

Thus we have:
 * $y = \ln \cosec x$

and so: