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Exercises win it's meant 1-50 Calculate y'. top)with the cost of modusing live io sidi of theansi erdt to dousups he bard (s) !98 45. y = 1. y = (x2 + x3) 4 47. y = 3. y x2 - x+ 2 0 cells tan x 4. y 1 + cosx brit . 49. y = 5. y = x'sin TX Edsep 96. y = x COS -1x .D inioq rate of growinggal dole oved 1 4 - 1 7. y = 74 +1 51. If f(t 52. If g(0 9. y = In(x In x) old am pini are 10. y = em cos nx 53. Find 11. y = Vx cos Vx 12. y = (arcsin 2x)2) 54. Find el/ x conslugtio 13. y = 2 e the women14. y = In sec x 55. Use m ody stimulates the drup, off decker 14 f (x ) u - 1 15. y + x cosy = x2y 16. y = called 56. Evalua 17. y = varctan x 18. y = cot(csc x) 57-59 Fin 19. y = tan 120. y = exsecx 1 16 offall 1 + +2 point. 21. y = 3 x Inx about 10 613 22. y = sec(1 + x2) (B) 57. y = 4 23. y = (1 - x-1)-1 24. y = 1/ 8x + Vx 59. y = V 25. sin(xy) = x2 - y 26. y - Vsin x 60-61 Find 27. y = logs(1 + 2x) 0 -1 28. y = (cos x)* smil curve at th ( x 2 + 1 ) 4 29. y = In sin x - 2 sin x 30. y = (2x + 1)3 (3x - 1)5 60. x2 + 4 31. y = x tan '(4x) 32. y = ecosx + cos(ex) 61. y = (26. y = x COS 51. If f (t) = \\4t + 1, find f"(2). be sor nisido 8. xe" = y sin xaul SAT .83 pavilion 52. If g(0) = 0 sin 0, find g"( T/6). 10. y = emx cos nx 12. y = (arcsin 2x)2 (B) 53. Find y" if x6 + y = 1. best/ N(6) bart 54. Find f"(x) if f(x) = 1/(2 -x).bus t .or 14. y = In sec x 55. Use mathematical induction (page 76) to show that if f (x) = xet, then f("(x) = (x + n)ex. 16. y = u - 1 u2 tu+ 1 1 3 56. Evaluate lim 18. y = cot(csc x) 1 0 tan (2t) 57-59 Find an equation of the tangent to the curve at the given 20. y = exsecx stanib point. x2 - 1 22. y = sec(1 + x2) 57. y = 4 sin2x, (7/6, 1) 58. y x 2 + 1 ' (0, - 1) 24. y = 1/3x+ x 59. y = V1 + 4 sin x, (0, 1) 0 26. y = sin Vx 28. y = (cos x)* 60-61 Find equations of the tangent line and normal line to the curve at the given point. ( x 2 + 1 ) 4 30. y = (2x + 1)3 (3x - 1)5 60. x2 + 4xy + y2 = 13, (2, 1) 32. y = ecosx + cos(ex) 61. y = (2 + x)ex, (0, 2) ble function snob(1b)0 Ation at 34. y = 10 tan TO 62. If f(x) = xesinx, find f'(x). Graph f and f' on the same 36. y = Vt In(t4) screen and comment. 38. y = arctan(arcsin Vx ) o emret al 's brit ro-er 63. (a) If f(x) = xV5 - x, find f'(x). 40. xe' = y- losi ge (b) Find equations of the tangent lines to the curve er ( x + 1 ) 4 y = xv5 - x at the points (1, 2) and (4, 4). 42. y (c) Illustrate part (b) by graphing the curve and tangent lines * * + 14 on the same screen. sin mx 44. y (d) Check to see that your answer to part (a) is reasonable by X comparing the graphs of f and f'.14 + 1 8. xe = y sin x nil sHT .89 when winstonoo svireog 9. y = In(x In x) 10. y = emx cos nx 11. y = Vx cos Vx 12. y = (arcsin 2x)2 el /x 13. y = * 2 14. y = In sec x 15. y + x cosy = xy u - 1 16. y = u 2 + u + 1 / 17. y = Varctan x 18. y = cot(csc x) t 19. y = tan 1 + +2 20. y =exsecx stall 21. y = 3xinxingtop 22. y = sec(1 + x2)() 23. y = (1 -x-1)-i 24. y = 1/Vx + Vx 25. sin(xy) =x-y 26. y = Vsin Vx 27. y = logs(1 + 2x) 28. y = (cos x)*still 29. y = In sin x - sin2x ( x 2 + 1 ) 4 30. y = (2x + 1) 3(3x - 1)5 31. y = x tan (4x) you 9 32. y = ecosx + cos(ex) 33. y = In sec 5x + tan 5x 34. y = 10 tan TO 35. y = cot(3x2 + 5) 36. y = Vt In(t4) 37. y = sin(tan V1 + x3 38. y = arctan(arcsin Vx ) 39. y = tan (sin 0) 40. xe' = y - 1 .0 41. y = Vx +1(2 - x)5 10 42. y = ( x + 1 ) 4 (x + 3)' sin mx 43 . y = x sinh(x2 ) 44. y = X Graphing calculator or computer required