class notes and practise material

Chain Rule worksheet MATH 1500


Find the derivative of each of the following functions by using the chain rule.

1. (csc(x))20 21. 2−5x+2 41. − sin (9x2 + 14x + 6)
p p
2. (9x + 3)20 22. 16 − cos(x) 42. 16 − sin(x)
¡√ ¢
3. − cos 9x 23. sin (e2x ) 43. tan (cos(x))

4. 1
−10x2 +10x+2
24. − sin (sec(x)) 44. (sin(x))17
p
5. − sin (9x3 + 21) 25. − cos (cos(x)) 45. 15 csc(x)
p
6. sin (sin(x)) 26. e15 csc(5x) 46. 9 − sin(x)
√
7. − sin (− sin(x)) 27. (12x + 5)17 47. tan ( x)
p
8. cot (−8x) 28. (tan(x))20 48. 15 − cos(x)
√
9. cos (sec(x)) 29. tan (sec(x)) 49. 2 9x
p √
10. 11 − cos(x) 30. e−9x 50. 6x3 + 8
3 +8
11. cos (9x2 + 14x + 6) 31. 26x 51. 2sin(x)
√ ¡√ ¢ √
12. 16 9x3 + 21 32. − cos 8x 52. 9 9x2 + 14x + 6
p
13. (cos(x))2008 33. − cos (ex ) 53. 3 sec(x)
14. (csc(x))2008 34. cot (sin(x)) 54. (tan(x))100
p
15. 1 35. cot (8 csc(8x)) 55. 12 csc(x)
e2x
√
√ 36. 2 x 3
16. e8x 56. e5x +11
37. 1 √
17. (sin(x))2008 −8x 57. 3 9x2 + 14x + 6
p
18. − sin (5x3 + 11) 38. csc(x)
9
58. cot (csc(x))
p
19. cos (cot(x)) 39. 16 sec(x) 59. (cot(x))2008
p 1
20. sin (cot(x)) 40. 11 sec(x) 60. 9x2 +14x+6




R. Borgersen