e^(x+y)sin(x+z)=0 z=z(x+y) 求dz
问题描述:
e^(x+y)sin(x+z)=0 z=z(x+y) 求dz
答
e^(x+y)sin(x+z)=0e^(x+y)dsin(x+z)+ sin(x+z)de^(x+y)=0e^(x+y).cos(x+z) ( dx +dz) + sin(x+z).e^(x+y).( dx+ dy) =0e^(x+y).cos(x+z) dz =-sin(x+z).e^(x+y).( dx+ dy) -e^(x+y).cos(x+z) dx=-e^(x+y).[ sin(x+z)...