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Only for number 15 and 39 pls 9-16 Find the intervals on which f is increasing or decreasing. 34-41 Sketch the graph of a function

Only for number 15 and 39 pls

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9-16 Find the intervals on which f is increasing or decreasing. 34-41 Sketch the graph of a function that satisfies all of the given and find the local maximum and minimum values of f. conditions. 9. /(x) - 2x3 - 15x3 + 24x - 5 34. (a) S'(x) 0 and f*(x) > 0 for all x 11. /(x) = 6x* - 16x3 + 1 12. /x) = x (x - 3) 35. (a) f'(x) > 0 and f*(x) 0 for all x 13. f(x) = X- - 24 14. /x) = x+ 4 X - 5 36. Vertical asymptote x - 0. f'(x) > 0ifx -2 (x # 0), 15. f(x) = sin x + cosx, 0 s x6 2% "(x) 0ifx >0 16. /(x) - x'ex 37. f'(0) = f'(2) = f'(4) = 0, f'(x) > 0ifx 4, concave downward, and find the inflection points of /. '(x) >oil 3 17. f(x) = x - 3x3 - 9x + 4 38. f'(x) > 0 for all x x 1. vertical asymptote x = 1. 18. /(x) - 2x3 - 9x3 + 12x - 3 f" (x) > 0 if x 3, f"(x) 0 when x > 5, f*(2) - 0, "(8) - 0. 21. /(x) = In(x- + 5) 22. /(x) = - f" (x) 8, ex + 2 "(x) > 0for 2 0if0 4, (c) Find the intervals of concavity and the inflection points. lim f(x) = x, lim f'(x) = -x, X f(x) > 0if -1 4 25. /(x) = x - x - Inx 26. /(x) = x In.x 41. f'(x) > 0ifx / 2, "(x) > 0ifx 2, f has inflection point (2, 5). lim f(x) - 8. lim f(x) = 0 28. /(x) - cos x - 2 sinx. Ox = 20

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