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...
Related questions
Question
Number 27
![In
58, find the critical points and the intervals on which
the function is increasing or decreasing. Use the First Derivative Test to
determine whether the critical point is a local min or max (or neither).
27. y=-x² + 7x - 17
4
29. y = x³ – 12x²
31. y = 3x4 + 8x³ - 6x² – 24x
=1/3x³ + 3√3x²+2x+4
33. y =
35. y = x5 + x³ +1
37. y = x² - 4x³/2 (x > 0)
x4
39. y=x+x=1
(x > 0)
1
x² +1
41. y =
x3
x² +1
45. y = 0 + sin ( + cos (
sin²0 + sin 0
43. y =
47. y =
28. y =
5x² + 6x
30. y = x(x − 2)³
32. y = x² + (10 − x)²
34. y = x¹ + x²
r3
36. y = x5 + x³ + x
38. y = x5/2 - x2
x5/2_x²
40. y = x 24x-1
2x + 1
x² + 1
42. y =
44. y =
X
=
r3
X
-
3
(x > 0)
(x > 0)
46. y
sin 0+√3 cos 0
48. y = 0 - 2 сos 0, [0, 2π]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F48a7e361-4af0-4f56-bb6f-d3591bf986f7%2Fc6eb81c1-d912-4aab-b1e4-d23658e4e352%2F2qpozh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In
58, find the critical points and the intervals on which
the function is increasing or decreasing. Use the First Derivative Test to
determine whether the critical point is a local min or max (or neither).
27. y=-x² + 7x - 17
4
29. y = x³ – 12x²
31. y = 3x4 + 8x³ - 6x² – 24x
=1/3x³ + 3√3x²+2x+4
33. y =
35. y = x5 + x³ +1
37. y = x² - 4x³/2 (x > 0)
x4
39. y=x+x=1
(x > 0)
1
x² +1
41. y =
x3
x² +1
45. y = 0 + sin ( + cos (
sin²0 + sin 0
43. y =
47. y =
28. y =
5x² + 6x
30. y = x(x − 2)³
32. y = x² + (10 − x)²
34. y = x¹ + x²
r3
36. y = x5 + x³ + x
38. y = x5/2 - x2
x5/2_x²
40. y = x 24x-1
2x + 1
x² + 1
42. y =
44. y =
X
=
r3
X
-
3
(x > 0)
(x > 0)
46. y
sin 0+√3 cos 0
48. y = 0 - 2 сos 0, [0, 2π]
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