y=lntan(x/2)-cosxlntanx
dy/dx
= [1/tan(x/2)]·[1+(tan(x/2))^2]·(1/2) + (sinx)·ln(tanx) - cosx·(1/tanx)·[1+(tanx)^2]
=1/(1-cosx) + sinx(lntanx) - (1/sinx)
y=lntan(x/2)-cosxlntanx
dy/dx
= [1/tan(x/2)]·[1+(tan(x/2))^2]·(1/2) + (sinx)·ln(tanx) - cosx·(1/tanx)·[1+(tanx)^2]
=1/(1-cosx) + sinx(lntanx) - (1/sinx)