Name Assignment 4- Ap The First and Second Derivative 1 . For the graph shown, at which point is it true that = = 0 and * = (A) A (B) & (C) C (D) D 2. If /(x) = XV2x - 3, then FTx) - (A)- 3x - 3 (D) + 3 12x - 3 VZx - 3 (B) 5x - 6 12x - 7 (F) 212 x - 12 x - 3. How many critical points does the function / (x) = (x + 2) (x - 3) have ? (A ) One (B) Two (C) Three (D) Five (E) Nine 4. What is the minimum value of /(x ) = x In x? (A) -e (D) 0 (B) - 1 (E) /(x) has no minimum value. (C) C- 5. If the derivative of f is given by /'(x) = et - 3x3, at which of the following values of x does f have a relative maximum value? (A) -0.46 (U) 0.20 (C) 0.91 (D) 0.95 (E) 3.73 6. If * + ry = 10, then when . = 2. 7 (A ) - 7 (B) -2 (C) (D) NIW C 7. The function f has first derivative given by f'(x) = = It x + 3 . What is the x-coordinate of the inflection point of the graph of f ? (A) 1.008 (B) 0.473 (C) 0 (D) -0.278 (E) The graph of f has no inflection point