设y=f^2(3x-2/3x+2),f(x)=In(1+x^2）,则dy/dx|x=0=?_数学解答

设y=f^2(3x-2/3x+2),f(x)=In(1+x^2）,则dy/dx|x=0=?

人气：478 ℃　时间：2019-11-02 22:26:03

解答

f(x)=ln(x^2+1)f((3 x-2)/(3 x+2))=ln^2((3 x - 2)^2/(3 x + 2)^2 + 1)dy/dx=(2 ((6 (3 x - 2))/(3 x + 2)^2 - (6 (3 x - 2)^2)/(3 x + 2)^3) ln((3 x - 2)^2/(3 x + 2)^2 + 1))/((3 x - 2)^2/(3 x + 2)^2 + 1)x=0时...