y=(1-x)(1-x^2)^2(1-x^3)^3求导(用对数)谢谢
问题描述:
y=(1-x)(1-x^2)^2(1-x^3)^3求导(用对数)谢谢
答
lny=ln(1-x)+2ln(1-x^2)+3ln(1-x^3)两边取对数得y′/y=-1/(1-x)+2/(1-x^2)*(-2x)+3/(1-x^3)*(-3x^2)=-1/(1-x)-4x/(1-x^2)-9x^2/(1-x^3)y′=-[1/(1-x)+4x/(1-x^2)+9x^2/(1-x^3)]y=-[(1-x^2)^2(1-x^3)...