Don't know the steps in finding this derivative.
But the derivative is
The answer is:
/ / 2 \ \ sin(x) | \1 + tan (x)/*sin(x)| tan (x)*|cos(x)*log(tan(x)) + --------------------| \ tan(x) /
/ 2 2 \ |/ / 2 \ \ / 2 \ / 2 \ | sin(x) || \1 + tan (x)/*sin(x)| / 2 \ \1 + tan (x)/ *sin(x) 2*\1 + tan (x)/*cos(x)| tan (x)*||cos(x)*log(tan(x)) + --------------------| - log(tan(x))*sin(x) + 2*\1 + tan (x)/*sin(x) - --------------------- + ----------------------| |\ tan(x) / 2 tan(x) | \ tan (x) /
/ 3 / 2 \ 2 2 3 \ |/ / 2 \ \ / / 2 \ \ | / 2 \ / 2 \ | / 2 \ / 2 \ / 2 \ / 2 \ | sin(x) || \1 + tan (x)/*sin(x)| | \1 + tan (x)/*sin(x)| | / 2 \ \1 + tan (x)/ *sin(x) 2*\1 + tan (x)/*cos(x)| / 2 \ 4*\1 + tan (x)/ *sin(x) 3*\1 + tan (x)/ *cos(x) 3*\1 + tan (x)/*sin(x) 2*\1 + tan (x)/ *sin(x) / 2 \ | tan (x)*||cos(x)*log(tan(x)) + --------------------| - cos(x)*log(tan(x)) - 3*|cos(x)*log(tan(x)) + --------------------|*|log(tan(x))*sin(x) - 2*\1 + tan (x)/*sin(x) + --------------------- - ----------------------| + 6*\1 + tan (x)/*cos(x) - ----------------------- - ----------------------- - ---------------------- + ----------------------- + 4*\1 + tan (x)/*sin(x)*tan(x)| |\ tan(x) / \ tan(x) / | 2 tan(x) | tan(x) 2 tan(x) 3 | \ \ tan (x) / tan (x) tan (x) /