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DERIVING IS FUN!! So find some derivatives  #27
Directions: Find the first derivative of each of the following in terms of x and y.
1. y = (e7sin x)(3x8 – x-1)
4. y = 4x8 – 5x3/4 – 7x-2 + 8 3 x
7. y = log4 (3x2 + 5x)
10. y = 12
13. x2 – y2 = 25
16. y = (ln 8)x
19. y = sin-1 x
22. y = 6ln x
25. y = e5 – 4x3
3 cos x  4
28. y =
5x  6
2. y = ex
5. y = cos (4x6)
tan x
8. y =
14 x  6
11. y = -csc (2x)
14. x2 + y2 = y
17. y = sec (4x)
20. y = sec-1 (2x)
23. y = 8 – cot x
26. y = ex – 4x3
29. y = (t + sin5 (3x4 + 10x – 2))7
3. y = x1/x
6. y = 4cos6 x
9. y = e (3 x
4
 ln 7 )
12. y = 4sec x
15. x2 + 2xy + y2 = 25
18. y = (log5 6)x
21. y = tan-1 (5x2 + 1)
24. y = log17 x
27. y = cos x – 4x-3
x
30.
 y 2  5 y  15 x
x y
DERIVING IS FUN!! So find some derivatives #27
Directions: Find the first derivative of each of the following in terms of x and y.
1. y = (e7sin x)(3x8 – x-1)
4. y = 4x8 – 5x3/4 – 7x-2 + 8 3 x
7. y = log4 (3x2 + 5x)
10. y = 12
13. x2 – y2 = 25
16. y = (ln 8)x
19. y = sin-1 x
22. y = 6ln x
25. y = e5 – 4x3
3 cos x  4
28. y =
5x  6
2. y = ex
5. y = cos (4x6)
tan x
8. y =
14 x  6
11. y = -csc (2x)
14. x2 + y2 = y
17. y = sec (4x)
20. y = sec-1 (2x)
23. y = 8 – cot x
26. y = ex – 4x3
29. y = (t + sin5 (3x4 + 10x – 2))7
3. y = x1/x
6. y = 4cos6 x
9. y = e (3 x
4
 ln 7 )
12. y = 4sec x
15. x2 + 2xy + y2 = 25
18. y = (log5 6)x
21. y = tan-1 (5x2 + 1)
24. y = log17 x
27. y = cos x – 4x-3
x
30.
 y 2  5 y  15 x
x y
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