How do you find the intervals that are concave up or down, the inflection point, the critical points, and the local max and min of problem 53?Thanks! in-f(x)42. y =sintheast 10sinx+4 (0,2m]43. f(x) = xemx?45. f(x) = x³ Inx (x > 0)46. f(x) = lnx +In(4-x2), (0.2)In Exercises 47-62, find the intervals on which f is concave up or down,the points of inflection, the critical points, and the local minima andmaxima.47. f(x) = x³ - 2x² + x49. f(t) = 1² - 1351. f(x)=x²-8x¹/2 (x ≥ 0)52. f(x) = x3/2 - 4x-1/253. f(x)=X= x² +27(x > 0)55. f(x) = x5/3 --X(57. f(0) = 0+ sin 0, [0,2π]59. f(x)= tanx, (-11)60. f(x) = e-* cos x, [-]61. y = (x² - 2)e-* (x > 0)44.4. f(x) = -²-46-2x48. f(x) = x²(x-4)50. f(x) = 2x4 - 3x²+21x4 + 156. f(x) = (x - 1)³/558. f(x) = cos²x, [0,-54. f(x)=62. y = ln(x2 + 2x +elle

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How do you find the intervals that are concave up or down, the inflection point, the critical points, and the local max and min of problem 53? Thanks!

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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Question

How do you find the intervals that are concave up or down, the inflection point, the critical points, and the local max and min of problem 53? Thanks!

in-
f(x)
42. y =
sintheast 10
sinx+4 (0,2m]
43. f(x) = xemx?
45. f(x) = x³ Inx (x > 0)
46. f(x) = lnx +In(4-x2), (0.2)
In Exercises 47-62, find the intervals on which f is concave up or down,
the points of inflection, the critical points, and the local minima and
maxima.
47. f(x) = x³ - 2x² + x
49. f(t) = 1² - 13
51. f(x)=x²-8x¹/2 (x ≥ 0)
52. f(x) = x3/2 - 4x-1/2
53. f(x)=
X
= x² +27
(x > 0)
55. f(x) = x5/3 -
-X
(57. f(0) = 0+ sin 0, [0,2π]
59. f(x)= tanx, (-11)
60. f(x) = e-* cos x, [-]
61. y = (x² - 2)e-* (x > 0)
44.
4. f(x) = -²-46-2x
48. f(x) = x²(x-4)
50. f(x) = 2x4 - 3x²+2
1
x4 + 1
56. f(x) = (x - 1)³/5
58. f(x) = cos²x, [0,-
54. f(x)=
62. y = ln(x2 + 2x +
elle

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