Find the critical points of each function f in Exercises 27-36. Then use a graphing utility to determine whether f has a local minimum, a local maximum, or neither at each of these critical points. yoy no JadwI

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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:-2, and fails the conclusion of the Mean
f(2) =
tiable ev-
clusion of
22. A fund
everywhere except at x
except at x =
Value Theorem with a = -2 and b = 0.
%3D
e all the
or does
nimum,
In 2x
33. f(x) =
34. f(x) = 2'-Inx
%3D
%3D
35. f(x) = cos x
36. f(x) — secх
%3D
%3D
For each graph of f in Exercises 37–40, explain why f satis-
fies the hypotheses of Rolle's Theorem on the given interval
[a, b]. Then approximate any values ce (a, b) that satisfy the
conclusion of Rolle's Theorem.
37.
[a, b] = [-3, 1]
38.
(a, b] = [-3,3)
%3D
Transcribed Image Text::-2, and fails the conclusion of the Mean f(2) = tiable ev- clusion of 22. A fund everywhere except at x except at x = Value Theorem with a = -2 and b = 0. %3D e all the or does nimum, In 2x 33. f(x) = 34. f(x) = 2'-Inx %3D %3D 35. f(x) = cos x 36. f(x) — secх %3D %3D For each graph of f in Exercises 37–40, explain why f satis- fies the hypotheses of Rolle's Theorem on the given interval [a, b]. Then approximate any values ce (a, b) that satisfy the conclusion of Rolle's Theorem. 37. [a, b] = [-3, 1] 38. (a, b] = [-3,3) %3D
3
2.
1.
X++
4.
2
3
-1
2
3
1.
4.
Find the critical points of each function f in Exercises 27-36.
Then use a graphing utility to determine whether f has a
local minimum, a local maximum, or neither at each of these
critical points.
27. f(x) = (x – 1.7)(x + 3)
29. f(x) = 3x4 + 8x3 - 18x2 30. f (x) = (2x – 1)5
I+ + + gx = (x)f *8
31. f(x) = 3x – 2e*
32. f(x) = 3* – 2*
sur mua
Transcribed Image Text:3 2. 1. X++ 4. 2 3 -1 2 3 1. 4. Find the critical points of each function f in Exercises 27-36. Then use a graphing utility to determine whether f has a local minimum, a local maximum, or neither at each of these critical points. 27. f(x) = (x – 1.7)(x + 3) 29. f(x) = 3x4 + 8x3 - 18x2 30. f (x) = (2x – 1)5 I+ + + gx = (x)f *8 31. f(x) = 3x – 2e* 32. f(x) = 3* – 2* sur mua
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