设函数f(x,y)= xy^2/(x^2+y^2); (x2+y2)≠ 0 ; (x2+y2)=0 问 :(1) f(x,y)在点(0,0)处是否连续? (2)计算f’x (0,0)和f’y (0,0)
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![设函数f(x,y)= xy^2/(x^2+y^2); (x2+y2)≠ 0 ; (x2+y2)=0 问 :(1) f(x,y)在点(0,0)处是否连续? (2)计算f’x (0,0)和f’y (0,0)](/uploads/image/z/11970313-25-3.jpg?t=%E8%AE%BE%E5%87%BD%E6%95%B0f%28x%2Cy%29%3D+xy%5E2%2F%28x%5E2%2By%5E2%29%3B+%28x2%2By2%29%E2%89%A0+0+%3B+%28x2%2By2%29%3D0+%E9%97%AE+%EF%BC%9A%EF%BC%881%EF%BC%89+f%28x%2Cy%29%E5%9C%A8%E7%82%B9%280%2C0%29%E5%A4%84%E6%98%AF%E5%90%A6%E8%BF%9E%E7%BB%AD%3F+%EF%BC%882%EF%BC%89%E8%AE%A1%E7%AE%97f%E2%80%99x+%280%2C0%29%E5%92%8Cf%E2%80%99y+%280%2C0%29)
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设函数f(x,y)= xy^2/(x^2+y^2); (x2+y2)≠ 0 ; (x2+y2)=0 问 :(1) f(x,y)在点(0,0)处是否连续? (2)计算f’x (0,0)和f’y (0,0)
设函数f(x,y)= xy^2/(x^2+y^2); (x2+y2)≠ 0 ; (x2+y2)=0 问 :
(1) f(x,y)在点(0,0)处是否连续?
(2)计算f’x (0,0)和f’y (0,0)
设函数f(x,y)= xy^2/(x^2+y^2); (x2+y2)≠ 0 ; (x2+y2)=0 问 :(1) f(x,y)在点(0,0)处是否连续? (2)计算f’x (0,0)和f’y (0,0)