Question: Use the function to show that fx(0,0) and fy(0,0) both exist, but that f' is not differentiable as (0,0).f(x,y)={5x2yx4y2,(x,y)(0,0)0,(x,y)=(0,0)

Use the function to show that fx(0,0) and fy(0,0) both exist, but that f' is not differentiable as (0,0).f(x,y)={5x2yx4y2,(x,y)(0,0)0,(x,y)=(0,0)

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