设z=√(1-x2-y2),则dz=()
设z=√(1-x2-y2),则dz=()
A、-x/√(1-x2-y2)dx
B、-Y/√(1-x2-y2)dy
C、1/√(1-x2-y2)(dx+dy)
D、-1/√(1-x2-y2)(xdx+ydy)
【正确答案】:D
【题目解析】:z=(∂z/∂x)dx+(∂z/∂y)dy=-xdx/√(1-x2-y2)-ydy/√(1-x2-y2)=-(xdx+ydy)/√(1-x2-y2).
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