EXERCISES 1-50 Calculate y'. 1 . y = ( x 2 + x3) 4 2. y = x2 - x+ 2 Vx 45. y = In(cosh 3.x) 3. y = Vx 4. y = tan x papers. 1 + cos x 47. y = cosh '(sinh x) 5. y = x sin TX d more 6. y = x cos x 1 4 - 1 49. y = cos(evian ax 7 . y = = 1 4 + 1 8. xe' = y sin x 9. y = In(x In x) 51. If f ( t) = V4 + 1, fi 10. y = em* cos nx 52. If g(0) = 0 sine, fin 11. y = Vx cos Vx 12. y = (arcsin 2x)2 53. Find y" if x6 + 16 = reted ell x hics, 13. y = 54. Find f() (x) if f (x ) 7 2 90 guib to ogne 14. )y = In sec x 55. Use mathematical 15 . y + x cosy = xy u - 1 f(x) = xe*, then 16. y = 56. Evaluate lim l for 17. y = Varctan x 1-0 tan 18. y = cot(csc x) 57-59 Find an equat 19. y = tan 1+ + 2 20. y = e*sec x point. 88 57. y = 4 sin x, 21. y = 3 x Inx 22. y = sec(1 + x2 ) 59. y = V1+ 4 si In- 23. y = (1 - x 1)-1 24. y = 1/ Vx+ Vx 25. sin(xy) = x - y 26. y = sin x 60-61 Find equat curve at the given 27. y = logs(1 + 2x) 28. y = (cos x)* Vom 60. x- + 4 xy + ( x 2 + 1 ) 4 61. y = (2 + x) 29. y = In sin x - - sin x 30. y = (2x + 1)3 (3x - 1) 5 31. y = x tan (4x) 32. y = ecosx + cos( et ) 62. If f( x ) = screen and 33. y = In | sec 5x + tan 5x 34. y = 10 tan TO 63. (a) If f(x 35. y = cot(3x2 + 5) 36. y = VtIn(t4) (b) Find y = 37. y = sin(tan V1 + x3 38. y = arctan(arcsin Vx ) (c) Illust on th 39. y = tan-(sin 0) 40. xe' = y - 1 (d) Che con ( x + 1 ) 4 41. y = - Vx + 1(2 - x)S 42 64. (a) If f (x + 3) (b) Ch sin mx by 43. y = x sinh(x2) 44. V =