Question: Show that f x ( 0 , 0 ) and f y ( 0 , 0 ) both exists but f is not differentiable at

Show that fx(0,0) and fy(0,0) both exists but f is not differentiable at (0,0), where f(x,y)={-3xyx2+y2,(x,y)(0,0)0,(x,y)=(0,0)
Show that f x ( 0 , 0 ) and f y ( 0 , 0 ) both

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