For f(x)=ln(tan(x))f(x) = \ln(\tan(x))f(x)=ln(tan(x)), what is the derivative f′(x)f'(x)f′(x)?
sec(x)csc(x)\sec(x)\csc(x)sec(x)csc(x)
2csc(2x)2\csc(2x)2csc(2x)
2sec(2x)2\sec(2x)2sec(2x)
cot(x)sec(x)\cot(x)\sec(x)cot(x)sec(x)