求导:y=[ln(1-x)]^2

问题描述:

求导:y=[ln(1-x)]^2

y=u² ,u=lnv,v=1-x

y'= dy/dx=dy/du*du/dv*dv/dx=2u*(1/v)*(-1)=-2ln(1-x)*[1/(1-x)]=[-2ln(1-x)]/(1-x)