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11. y= 13. y 15. y= 17. y= x-1 x + 1 x²+1 x +3 (2x + 1)² 1 2 x²+1 TT + 1 12. y=x²+x+7 14. y= x + 16. y = x +4√x ax + b cx + d (x + 1)³ 18. y=

11. y= 13. y 15. y= 17. y= x-1 x + 1 x²+1 x +3 (2x + 1)² 1 2 x²+1 TT + 1 12. y=x²+x+7 14. y= x + 16. y = x +4√x ax + b cx + d (x + 1)³ 18. y=

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 9E
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Q9,11,13,15 and Q17 It's not tough questions These are very easy questions if you solve all I will give you thumbs up Please do correctly by hand solution needed
EXERCISES 3.1 Differentiate the functions in Exercises 1-28. 1. y= (x+1)(x3 +5x+2) 2. y = (-x³ + + 2)( ½ − 1) 3. y = (2x4x + 1)(-x³ + 1) 4. y = (x² + x + 1)³(x - 1)4 5. y = x(x² + 1)4 6. y=x√x 7. y = (x²+3)(x²-3) 10 8. y = [(-2x³ + x)(6x - 9. y= (5x+1)(x2 − 1) + 10. y = x²(3x4 + 12x - 1)² x-1 x + 1 11. y= 13. y = 15. y= 17. y = 19. y = 22. y= 23. y= x² - 1 x² +1 x+3 (2x + 1)² 25. y = 1 TT + 2 x² + 1 y=(x+11)² x² (x² + 1)² 21. y = [(3x² + 2x + 2)(x-2)]² 1 √x-2 1 Vx+1 2x + 1 3 27. y = √x + 2(2x + 1)² 12. y = X x + + 16. y=x² + 4x 14. y = 18. y= 20. y = 24. y = 26. y = 1 x²+x+7 28. y= ax + b cx + d (x + 1)³ (x - 5)² 3 √√x+1 x+3 x² + 1 √3x - 1 x 3)14 29. Find the equation of the tangent line to the curve y = (x-2)(x + 1)² at the point (3, 16). 30. Find the equation of the tangent line to the curve y = (x + 1)/(x - 1) at the point (2, 3). 31. Find all x-coordinates of points (x, y) on the curve y=(x-2)/(x-4)³ where the tangent line is horizontal. 32. Find the inflection points on the graph of y=- Fig. 2.) Figure 2 1 Y y = 33. Find all x such that = 0, where dy dx 1 x² +1 1 2 x² + 1 y = (x²-4)³(2x² + 5) ³. (See
Transcribed Image Text:EXERCISES 3.1 Differentiate the functions in Exercises 1-28. 1. y= (x+1)(x3 +5x+2) 2. y = (-x³ + + 2)( ½ − 1) 3. y = (2x4x + 1)(-x³ + 1) 4. y = (x² + x + 1)³(x - 1)4 5. y = x(x² + 1)4 6. y=x√x 7. y = (x²+3)(x²-3) 10 8. y = [(-2x³ + x)(6x - 9. y= (5x+1)(x2 − 1) + 10. y = x²(3x4 + 12x - 1)² x-1 x + 1 11. y= 13. y = 15. y= 17. y = 19. y = 22. y= 23. y= x² - 1 x² +1 x+3 (2x + 1)² 25. y = 1 TT + 2 x² + 1 y=(x+11)² x² (x² + 1)² 21. y = [(3x² + 2x + 2)(x-2)]² 1 √x-2 1 Vx+1 2x + 1 3 27. y = √x + 2(2x + 1)² 12. y = X x + + 16. y=x² + 4x 14. y = 18. y= 20. y = 24. y = 26. y = 1 x²+x+7 28. y= ax + b cx + d (x + 1)³ (x - 5)² 3 √√x+1 x+3 x² + 1 √3x - 1 x 3)14 29. Find the equation of the tangent line to the curve y = (x-2)(x + 1)² at the point (3, 16). 30. Find the equation of the tangent line to the curve y = (x + 1)/(x - 1) at the point (2, 3). 31. Find all x-coordinates of points (x, y) on the curve y=(x-2)/(x-4)³ where the tangent line is horizontal. 32. Find the inflection points on the graph of y=- Fig. 2.) Figure 2 1 Y y = 33. Find all x such that = 0, where dy dx 1 x² +1 1 2 x² + 1 y = (x²-4)³(2x² + 5) ³. (See
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