Question: Please answer 10: Consider the following function and its first derivative: f(x) = 7e-*(-x2+ 3x -3) and f'(x) = 7e-*(x2 - 5x+ 6). (a) Show

Please answer 10: Consider the following function and its first derivative:

Please answer

f(x) = 7e-*(-x2+ 3x -3) and f'(x) = 7e-*(x2 - 5x+ 6).

10: Consider the following function and its first derivative: f(x) = 7e-*(-x2+ 3x -3) and f'(x) = 7e-*(x2 - 5x+ 6). (a) Show that f (x) has exactly two critical points. - : 2...:. x-values for each critical point in the first box below, separating them with a comma. (b) Determine the absolute maximum value (y-coordinate) of f(x) on the interval [1, 3]. If using a theorem from class, clearly identify any assumption(s) and conclusion(s). rounded to 3 decimal places if rounding is required. Problem #10(a): Problem # 10(b)

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