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
1. log13 (8x3 + 8) 26. − sin(x)

2. − cos (4x + 9) 27. log13 (csc(x))
3. (sin(x))100 28. e4x+9
4. − cos (ln(4x)) 29. ln (8x3 + 8)
5. (−9x2 + 3x + 5)100 30. 1
−4x
p√
6. x 31. ecos(x)
7. tan (ln(4x)) 32. ln (− cos(x))
8. cos (ln(x)) 33. sin (− cos(x))
−9x2 +3x+5
9. 2 34. 2ln(4x)
10. (ln(4x))10 35. (e6x )10
p
11. cot (−9x2 + 3x + 5) 36. sin(x)
√ √
12. 4x + 9 37. ( x)10
√
13. (ln(4x))100 38.
11 6x
e
14. eln(x) √
39. 11 −4x
p
15. sin (e6x ) 40. 11 sin(x)
1
16. ln(4x) 41. cos (10 csc(10x))
p √9
17. − cos(x) 42. e6x
p
18. 11 ln(x) 43. ln (tan(x))

19. (sin(x))10 44. log13 (− cos(x))
√
20. 3 4x + 9 45. (ln(x))100
p
21. − cos(x) 46. − sin (−9x2 + 3x + 5)
3 +8
p
22. 28x 47. 9 − cos(x)
p
23. (− cos(x))2008 48. sin(x)
p √
24. ln(4x) 49. 3 −4x
1
25. (ln(x))10 50. − sin(x)




08S