求导f(x)=ln((x-2)/(x-4))+x/4

问题描述:

求导f(x)=ln((x-2)/(x-4))+x/4
求导,

f(x)=ln((x-2)/(x-4))+x/4的导
=1/((x-2)/(x-4))*{〔(x-2)/(x-4)〕的导数}+1/4
=(x-4)/(x-2) *{ 〔1+ 2/(x-4)〕导数}+1/4
=(x-4)/(x-2)* { -4*2/(x-4)^2}+1/4
= -8/(x-4)*(x-2)+1/4