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14 Jan 2023

Question 5

Let f  be a differentiable function with a domain of (0,5). It is known that  (x), the derivative of f(x), is negative on the intervals (0,1) and (2,3) and positive on the intervals (1,2) and (3,5). Which of the following statements is true? 

(A) f has no relative minima and three relative maxima.

(B) f one relative minimum and two relative maxima.

(C) f has two relative minima and one relative maximum.

(D) f has three relative minima and no relative maxima.