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(Solved): need help bad 8. For f(x,y)={x4+y2x2y,(x,y)=(0,0),isfdifferentiableat(0,0)?Dofx ...



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8. For \( f(x, y)=\left\{\begin{array}{l}\frac{x^{2} y}{x^{4}+y^{2}},(x, y) \neq(0,0) \text {, is } \mathrm{f} \text { differ
8. For are they continuous at ? Do they exists and continuous at ? Is differentiable at


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SOLUTION : given that f(x,y)={x2yx4+y2(x,y)?(0,0)0(x,y)=(0,0)At (x,y)=(0,0) f(0,0)=0f(x,y)=x2yx4+y2fx(x,y)=(x4+y2)???x(
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