tan 5 y x = ( ) sec 5 f x x = ( ) cot 3 f x x = ( ) csc 2 f x x = sec 4 y x = tan

Trig Derivatives WS #21
Honors Calculus
Name ________________________
Find the derivative of each of the following functions.
1. y = tan ( 5 x )
2. f ( x) = sec ( 5 x )
3. f ( x) = cot 4 ( 3 x )
4. f ( x) = csc3 ( 2 x )
5. y = sec ( 4 x )
6. y = tan ( 3x ) − cot ( 3x )
7. y = cot ( 5 x ) + csc ( 5 x )
8. f ( x) = csc3 ( 2 x )
9. y = tan x + cot x
10. y = 4sec x − 2 csc x
11. y = 3sec x tan x
12. f ( x) = sin x tan x
13. y = cot x csc x
14. y = cos x cot x
15.
16. f ( x) =
19. y =
sin x
x
tan x
cos x − 4
17. f ( x) =
20. y =
sin x
1 − cos x
cot x
1 − sin x
y=
2 cos x
x +1
18. f ( x) =
x+2
cos x
21. y = sin ( 2 x )
22. f ( x) = cos ( x − 1)
23. y = cos ( 3 x 2 )
24. y = sin ( 4 x )
25. y = x sin x
26. f ( x) = sin ( 4 x )
27. y = −3cos x
28. y = cos ( −3 x )
29. f ( x) = 4 sin x
30. y = 2 cos ( 3x )
y = x 2 − 2sin ( 4 x )
31. y = 2sin (π x )
32. y = x + cos (π x )
33.
34. f ( x) = sin (π − x )
35. f ( x) = 2 cos ( x + π )
36. f ( x) = cos3 x
37. y = sin ( x3 )
38. y = sin x − 1
39. y = sin ( x − 1)
41. y = 3 sin π x
42. y = cos 2 ( x3 )
43. y = sin 3 x + 4 sin 2 x
44. f ( x) = x cos x
45. y = sin ( 2 x ) cos ( 3x )
46. f ( x) = sin 3 x cos x
47. y =
40. f ( x) = (1 + cos x )
8
sin x
cos x
Find the equation of the tangent line at the given point.
 13π 
48. y = cos ( 3 x ) at 
,0
 6

 5π 
49. y = sin ( 2 x ) at  ,1
 4 
π 
50. y = 3sin x + cos ( 2 x ) at  , 2 
2 
 3π

51. y = 3sin ( 2 x ) − cos ( 2 x ) at  , −3 
 4

π 
52. y = 3sin 2 x − cos 2 x at  ,1
4 