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Find the Critical Point(s) of the Function

question 197

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Find the critical point(s) of the function. Then use the second derivative test to classify the nature of each point, if possible. Finally, determine the relative extrema of the function. Find the critical point(s)  of the function. Then use the second derivative test to classify the nature of each point, if possible. Finally, determine the relative extrema of the function.   A)  (0, - 1) ; relative minimum value: f(0, - 1)  = - 4 B)  (0, 0) ; saddle point: f(0, 0)  = 4 C)  (1, 0) ; relative maximum value: f(1, 0)  = 1 D)  there are no critical points

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