设二元连续函数f(x,y),满足_________________.

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问题 设二元连续函数f(x,y),满足_________________.

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答案[*]

解析得f(0,0)=4,
,由得f(x,y)-3x-y-4=ο(ρ)
从而△z=f(x,y)-f(0,0)=3x+y+ο(ρ),
于是f(x,y)在(0,0)处可微,且f’x(0,0)=3,f’y(0,0)=1;

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