高数微分求导

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高数微分求导

两边同时对x求导得:
2y'-1=(x-y)/(x-y)*(1-y')+(1-y')ln(x-y)=(1-y')(1+ln(x-y));
所以y'=(2+ln(x-y))/(3+ln(x-y))=1-1/(3+ln(x-y));
y"=(3+ln(x-y))'/(3+ln(x-y))^2=(1-y')/((x-y)*(3+ln(x-y))^2)=1/((x-y)*(3+ln(x-y))^3);