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17. g(x) = e* + e3* 18. h(x) = Jxe* |3D In x 19. f(x) = x2 In 20. fle) = !! %3D Applying the First Derivative Test In Exercises 21–56, (a) find the critical numbers of f (if any), (b) find the open interval(s) on which the function is increasing or decreasing, (c) apply the First Derivative Test to identify all relative extrema, and (d) use a graphing utility to confirm your results. 21. f(x) = x² – 4x 22. f(x) = x² + 6x + 10 %3D 23. f(x) = - 2x² + 4x + 3 24. f(x) = - 3x? – 4x – 2 %3D %3D 25. f(x) = 2r + 3x? 12x 26. f(x) = x³ – 6x² + 15 %3D 27. f(x) = (x – 1)*(x + 3) 28. f(x) = (x + 2)²(x = 1) %3D x- 5x 29. f(x) = 30. f(x) = x* – 32x + 4 %3D 31. f(x) = x'/3 + 1 32. f(x) = x²/3 – 4 %3D 33. f(x) = (x + 2)²/3 34. f(x) = (x - 3)/3 %3D 35. f(x) = 5 - |x - 5| 36. f(x) = |x + 3|- 1 %3D %3D 1 37. f(x) = 2x + ! %3D 38. f(x) = %3D 39. f(x) = 2x+ 1 %3D x²-9 40. f(x) = 41. f(x) 2x + %3D 42.

17. g(x) = e* + e3* 18. h(x) = Jxe* |3D In x 19. f(x) = x2 In 20. fle) = !! %3D Applying the First Derivative Test In Exercises 21–56, (a) find the critical numbers of f (if any), (b) find the open interval(s) on which the function is increasing or decreasing, (c) apply the First Derivative Test to identify all relative extrema, and (d) use a graphing utility to confirm your results. 21. f(x) = x² – 4x 22. f(x) = x² + 6x + 10 %3D 23. f(x) = - 2x² + 4x + 3 24. f(x) = - 3x? – 4x – 2 %3D %3D 25. f(x) = 2r + 3x? 12x 26. f(x) = x³ – 6x² + 15 %3D 27. f(x) = (x – 1)*(x + 3) 28. f(x) = (x + 2)²(x = 1) %3D x- 5x 29. f(x) = 30. f(x) = x* – 32x + 4 %3D 31. f(x) = x'/3 + 1 32. f(x) = x²/3 – 4 %3D 33. f(x) = (x + 2)²/3 34. f(x) = (x - 3)/3 %3D 35. f(x) = 5 - |x - 5| 36. f(x) = |x + 3|- 1 %3D %3D 1 37. f(x) = 2x + ! %3D 38. f(x) = %3D 39. f(x) = 2x+ 1 %3D x²-9 40. f(x) = 41. f(x) 2x + %3D 42.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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#40 part b
15. y = x-2 cos x, 0<x< 27 0<x<27 16. f(x) = sin?x + sin x, 18. h(x) = se %3D 17. g(x) = e* + e* In x 20. f(x) = 19. f(x) = x In G Applying the First Derivative Test In Exercises 21–56, (a) find the critical numbers of f (if any), (b) find the open interval(s) on which the function is increasing or decreasing, (c) apply the First Derivative Test to identify all relative extrema, and (d) use a graphing utility to confirm your results. timate ng or 21. f(x) = x² – 4x 22. f(x) = x² + 6x + 10 23. f(x) = =2r² + 4x + 3 24. f(x) = –3x – 4r – 2 25. f(x) = 2r + 3x² 12x 26. f(x) = x³ – 6x² + 15 %3D 27. f(x) = (x – 1)*(x + 3) 28. f(x) = (x + 2)²(x – 1) * - 5x 29. f(x) = 30. f(x) = x* - 32x + 4 31. f(x) = x'/3 + I 32. f(x) = x²/3 – 4 33. f(x) = (x + 2)2/3 34. f(x) = (x - 3)/3 35. f(x) = 5 - |x- 5| 36. f(x) = |x + 3| 1 37. f(x) = 2x + ! 38. f(x) = 39. f(x) = 40. f(x) 2r+1 9. [2x+ + - 2, 41. ) = 42. f(x) + 1. xs -l 2v. 72°F Partly sunny 7:32 РМ 11/8/2021
Transcribed Image Text:15. y = x-2 cos x, 0<x< 27 0<x<27 16. f(x) = sin?x + sin x, 18. h(x) = se %3D 17. g(x) = e* + e* In x 20. f(x) = 19. f(x) = x In G Applying the First Derivative Test In Exercises 21–56, (a) find the critical numbers of f (if any), (b) find the open interval(s) on which the function is increasing or decreasing, (c) apply the First Derivative Test to identify all relative extrema, and (d) use a graphing utility to confirm your results. timate ng or 21. f(x) = x² – 4x 22. f(x) = x² + 6x + 10 23. f(x) = =2r² + 4x + 3 24. f(x) = –3x – 4r – 2 25. f(x) = 2r + 3x² 12x 26. f(x) = x³ – 6x² + 15 %3D 27. f(x) = (x – 1)*(x + 3) 28. f(x) = (x + 2)²(x – 1) * - 5x 29. f(x) = 30. f(x) = x* - 32x + 4 31. f(x) = x'/3 + I 32. f(x) = x²/3 – 4 33. f(x) = (x + 2)2/3 34. f(x) = (x - 3)/3 35. f(x) = 5 - |x- 5| 36. f(x) = |x + 3| 1 37. f(x) = 2x + ! 38. f(x) = 39. f(x) = 40. f(x) 2r+1 9. [2x+ + - 2, 41. ) = 42. f(x) + 1. xs -l 2v. 72°F Partly sunny 7:32 РМ 11/8/2021
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