27. y 2r(x + 2)² 29. y = x(r - 5)² 31. y = 4x(x + 5)* n= 27r - 2 26. y = x(x - 1)* 28. y = 3x'(x + 3)* %3D %3D 30. y = 3x (x - 1) 22

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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How would you differentiate these equations: 26, 27, 31, 35, 37, 39, 41, and 43.
dy
= 4-
+ x) 4/3(3x² + 1)
dx
3(x + x)43
n =
3
7. y
2.8
Exercises/Section 2.7
4
GROUP A Differentiate the given functions (Exercises 1-52).
20. z =
+ 2
21. y =
V2? -1
1. y = 4x - 4r² + 8
2. y = 4x
-4 - 4x-2 +8
3
4
22. y =
23. y
3. y = -
(or y = x)
1
4. у %3D
(or y = x3)
V2 - 4x
24. y =
25. y = x(x + 1)
5. y = x - 3x-3+ 2x-2
6. y = xVx
(or y = x2)
3Vx - 6
26. y = x(x – 1)*
28. y = 3x'(xr + 3)*
= 3x (x – 1)³
32. n = m(m³ + 2)³
27. y = 2r(x + 2)
29. y = x(x - 5)
31. y = 4x(x + 5)*
33. Q = 2r(r - 2)
1
7. y = xV +
(or y = x2 + x1/2)
8. y = 3x-2 - 2x-3 + x + V2
30.
2 1
1
9. y = V2x- V3x² + 7?
10. y =
23
34. y = 5x(x – 1)*
35. y =
11. y = (2x – 3)*
13. y = (4 – 3x)*
15. y = 2(x + 1)10
12. y = (x – 3x + 2)
14. y = (4 + x*)S
16. y = 2(1 –)*
%3D
4 + x
t-2
36. у 3
37. Р 3D
4 - x
+ + 4
-3
17. y =
(See Example 7.)
38. V =
39. R =
s2 - 4
s- 2
3x
2+ 2r
2-8
+ g
1
18. у %3
VP- 3
40. V =
41. y =
19. υ
q? - 4
Unless
Transcribed Image Text:dy = 4- + x) 4/3(3x² + 1) dx 3(x + x)43 n = 3 7. y 2.8 Exercises/Section 2.7 4 GROUP A Differentiate the given functions (Exercises 1-52). 20. z = + 2 21. y = V2? -1 1. y = 4x - 4r² + 8 2. y = 4x -4 - 4x-2 +8 3 4 22. y = 23. y 3. y = - (or y = x) 1 4. у %3D (or y = x3) V2 - 4x 24. y = 25. y = x(x + 1) 5. y = x - 3x-3+ 2x-2 6. y = xVx (or y = x2) 3Vx - 6 26. y = x(x – 1)* 28. y = 3x'(xr + 3)* = 3x (x – 1)³ 32. n = m(m³ + 2)³ 27. y = 2r(x + 2) 29. y = x(x - 5) 31. y = 4x(x + 5)* 33. Q = 2r(r - 2) 1 7. y = xV + (or y = x2 + x1/2) 8. y = 3x-2 - 2x-3 + x + V2 30. 2 1 1 9. y = V2x- V3x² + 7? 10. y = 23 34. y = 5x(x – 1)* 35. y = 11. y = (2x – 3)* 13. y = (4 – 3x)* 15. y = 2(x + 1)10 12. y = (x – 3x + 2) 14. y = (4 + x*)S 16. y = 2(1 –)* %3D 4 + x t-2 36. у 3 37. Р 3D 4 - x + + 4 -3 17. y = (See Example 7.) 38. V = 39. R = s2 - 4 s- 2 3x 2+ 2r 2-8 + g 1 18. у %3 VP- 3 40. V = 41. y = 19. υ q? - 4 Unless
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