Review_Set_C4

Review_Set_C4 - Students Name MAC2311-17 Review Set for...

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Student’s Name: MAC2311-17, Review Set for Chapter 4 4.1 : 7, 8, 9 7) Find the critical numbers of the function: 8) Find the critical points of the function: 9) Find the absolute maximum and absolute minimum values of f: f ( x ) = x 3 - 3 x + 1 on the given interval [0,3]. (max) (min) 4.2 : 7, 8 7) If f ( 2 ) = 5 and f '( x ) ≥ 1 for 2 x 7 , how small can f ( 7 ) possibly be? 8) Suppose that 4 f '( x ) ≤ 5 for all values of x . Complete the inequality below. f ( 4 ) - f ( 1 ) ≤ 4.3 : 2, 3, 4, 9 2) The graph of the derivative f ' of a function f is shown. (a) On what intervals is f increasing? ( , ) ( , ) (b) On what intervals is f decreasing? ( , ) ( , ) (c) At what values of x does f have a local maximum or minimum? x = (smallest value) x = x = (largest value) 3) The graph of the second derivative f '' of a function f is shown. State the x - coordinates of the inflection points of f . x = (smaller value) x = (larger value) Page 1 of 4
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Student’s Name: MAC2311-17, Review Set for Chapter 4 4) Consider the equation f ( x ) = 2 x 3 + 3 x 2 - 180 x (a) Find the intervals on which f is increasing.
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