E assuming that f 0 0 sketch a graph of f 3 3 2 sin x

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Unformatted text preview: s s s s s s 4 6 8x 4 6 8x 2 s _2 21–23 Find the local maximum and minimum values of f using both the First and Second Derivative Tests. Which method do you prefer? |||| 21. f x x5 5x 3 23. f x x s1 32. y x y=fª(x) x s s s s 22. f x s s s x2 s 4 s 2 s s s x 4 x 1 3. (b) What does the Second Derivative Test tell you about the behavior of f at these critical numbers? (c) What does the First Derivative Test tell you? 0 24. (a) Find the critical numbers of f x 25. Suppose f is continuous on (a) If f 2 (b) If f 6 0 and f 2 0 and f 6 _2 s 27. f 0 f2 0 if x 0 if 0 0 if 1 fx fx fx 28. f 1 f4 0, 0 or 2 x 4, x 2 or x 4, x 3, f x 0 if x f 1 0, x 0 if 1 0 if 2 x fx fx (a) (b) (c) (d) f 0 if x 35. f x x4 3x 5 x sx 41. C x x1 43. f 3 2x 3 39. A x 1 or x 2 30. f x 0, lim f x 0 if x fx 0 if 0 s 1, xl x s 3, s fx , fx 2, lim f x 0, s 0 if x xl2 f2 s fx 0 if x f x fx 2 cos 44. f t s s s s |||| t 3x 2 s s s s 34. f x 38. h x 3 3 x 4 x2 3x2 42. f x 3 200 40. B x 5x 3 2 36. t x 12 x 6x 2 ln x 4 cos 2 , 0 cos t, s 0 if x 45–52 2 (a) (b) (c) (d) (e) s s s 2 t s s x3 3x 8x 3 1 x4 3 3 x 27 2 2 s s s s s s 2, 3 s s s |||| Find the vertical and horizontal asymptotes. Find the intervals of increase or decrease. Find the local maximum and minimum values. Find the intervals of concavity and the inflection points. Use the information from parts (a) – (d) to sketch the graph of f ....
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This note was uploaded on 12/27/2013 for the course MATHEMATIC 135 taught by Professor Lam during the Fall '07 term at University of Toronto- Toronto.

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