1、lny=sinx*ln(1+x^2)y'/y=cosx*ln(1+x^2)+sinx*2x/(1+x^2)y'=[cosx*ln(1+x^2)+sinx*2x/(1+x^2)]*(1+x^2)^(sinx)2、lny=2ln(x+2)+ln(3-x)-4ln(x-1)y'/y=2/(x+2)-1/(3-x)-4/(x-1)y'=[2/(x+2)-1/(3-x)-4/(x-1)]*(x+2)^2*(3-x)/(x-1)^4