Find the intervals on which the function is concave up or down, the points of inflection, and the critical points, and determine whether each critical point corresponds to a local minimum or maximum (or neither). Let f(x) = -(5x + 5 sin(x)), 0≤x≤2m What are the critical point(s) = What does the Second Derivative Test tell about the first critical point: Test Fails What does the Second Derivative Test tell about the second critical point: Only one critical point on interval ✓ What are the inflection Point(s) = 0 On the interval to the left of the critical point, f is Decreasing and f' is Negative (Include all points where f' has this sign in the interval.) On the interval to the right of the critical point, f is Decreasing and f' is Negative (include all points where f' has this sign in the interval.) On the interval to the left of the inflection point f is Concave Up (Include only points where f has this concavity in the interval.) On the interval to the right of the inflection point f is Concave Down (Include only points where f has this concavity in the interval.)
Find the intervals on which the function is concave up or down, the points of inflection, and the critical points, and determine whether each critical point corresponds to a local minimum or maximum (or neither). Let f(x) = -(5x + 5 sin(x)), 0≤x≤2m What are the critical point(s) = What does the Second Derivative Test tell about the first critical point: Test Fails What does the Second Derivative Test tell about the second critical point: Only one critical point on interval ✓ What are the inflection Point(s) = 0 On the interval to the left of the critical point, f is Decreasing and f' is Negative (Include all points where f' has this sign in the interval.) On the interval to the right of the critical point, f is Decreasing and f' is Negative (include all points where f' has this sign in the interval.) On the interval to the left of the inflection point f is Concave Up (Include only points where f has this concavity in the interval.) On the interval to the right of the inflection point f is Concave Down (Include only points where f has this concavity in the interval.)
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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![Find the intervals on which the function is concave up or down, the points of inflection, and the critical points, and determine whether each critical
point corresponds to a local minimum or maximum (or neither). Let
f(x) = - (5z +5 sin(x)), 0≤x≤ 2m
What are the critical point(s) =
What does the Second Derivative Test tell about the first critical point: Test Fails V
What does the Second Derivative Test tell about the second critical point: Only one critical point on interval ?
What are the inflection Point(s) = 0
On the interval
to the left of the critical point, f is Decreasing and f' is Negative (Include all points
where f' has this sign in the interval.)
On the interval
to the right of the critical point, f is Decreasing
and f' is Negative (Include all
points where f' has this sign in the interval.)
V
to the left of the inflection point f is Concave Up
On the interval
(Include only points where f has this
concavity in the interval.)
On the interval
to the right of the inflection point f is Concave Down (Include only points where f has
this concavity in the interval.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe6ec190f-53e9-4e94-9a25-0c7f4fe861d8%2F30cb3977-0ac1-4243-a67f-48777437059d%2F623cm4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the intervals on which the function is concave up or down, the points of inflection, and the critical points, and determine whether each critical
point corresponds to a local minimum or maximum (or neither). Let
f(x) = - (5z +5 sin(x)), 0≤x≤ 2m
What are the critical point(s) =
What does the Second Derivative Test tell about the first critical point: Test Fails V
What does the Second Derivative Test tell about the second critical point: Only one critical point on interval ?
What are the inflection Point(s) = 0
On the interval
to the left of the critical point, f is Decreasing and f' is Negative (Include all points
where f' has this sign in the interval.)
On the interval
to the right of the critical point, f is Decreasing
and f' is Negative (Include all
points where f' has this sign in the interval.)
V
to the left of the inflection point f is Concave Up
On the interval
(Include only points where f has this
concavity in the interval.)
On the interval
to the right of the inflection point f is Concave Down (Include only points where f has
this concavity in the interval.)
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