The derivative of f(x)=ln(sec(x)+tan(x))f(x) = \ln(\sec(x) + \tan(x))f(x)=ln(sec(x)+tan(x)) is:
sec(x)\sec(x)sec(x)
tan(x)\tan(x)tan(x)
csc(x)\csc(x)csc(x)
sin(x)\sin(x)sin(x)