What is the derivative of $f(x) = ln(tan(x))$ ?

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Answer 1 · 2015-12-09T19:10:31

$(sec^2x)/tanx$

Using the following standard differentiation rules in conjunction :

$d/dx lnu(x)=1/u*(du)/dx$

$d/dx tanx = sec^2x$

we get that

$d/dx ln(tanx)=1/tanx*sec^2x$

What is the derivative of f(x) = ln(tan(x))f(x) = ln(tan(x))?