急!求由方程x-y+ 1/2 siny=0所确定的隐函数y的二阶导数d^2y/dx^2...答:F(0,0)=0 Fy(x,y)>0 f'(x)=-Fx(x,y)/Fy(x,y)=1/(1-1/2cosy)=2/(2-cosy)Fx(x,y)+Fy(x,y)y'=0 再求导:Fxx(x,y)+Fxy(x,y)y'+[Fyx(x,y)+Fyy(x,y)y']y'+Fy(x,y)y''=0 所以 y''=[2FxFyFxy-F^2yFxx-F^2xFyy]/F^3y 将每一个偏导数分别求出来,...
急!求由方程x-y+ 1/2 siny=0所确定的隐函数y的二阶导数d^2y/dx^2...答:siny=0 F(x,y)=y-x-1/2siny=0 F,Fx,Fy在定义域的任意点都是连续的,F(0,0)=0 Fy(x,y)>0 f'(x)=-Fx(x,y)/Fy(x,y)=1/(1-1/2cosy)=2/(2-cosy)Fx(x,y)+Fy(x,y)y'=0 再求导:Fxx(x,y)+Fxy(x,y)y'+[Fyx(x,y)+Fyy(x,y)y']y'+Fy(x,y)y''=0 所以...