Find the derivative of f(x)=ln(sec(x)+tan(x))f(x) = \ln(\sec(x) + \tan(x))f(x)=ln(sec(x)+tan(x)) and identify its value at x=π6x = \frac{\pi}{6}x=6π.
sec(x)\sec(x)sec(x)
233\frac{2\sqrt{3}}{3}323
tan(x)\tan(x)tan(x)
12\frac{1}{2}21