Question: Let f be a differentiable function. If (a, b) is a critical point of f ,(i.e.,f (a, b)=0),then is (a, b) a critical point of

Let f be a differentiable function. If (a, b) is a critical point of f ,(i.e.,f (a, b)=0),then is (a, b) a critical point of the function f 2? What about the other way around,namely if (a, b) is a critical point of the function f 2, does it mean (a, b) is a criticalpoint of f ? Justify your answers.1

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