Use any method to find the relative extrema of the function f(x) = 2x + 27xå. If there is no relative maximum or minimum, indicate that using the check box. NOTE: Enter the exact answers. f has a relative maximum at the point|(?,?) | No relative maximum f has a relative minimum at the point (?, ?) No relative minimum

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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Suppose thatf is continuous at a critical point xo.
(a) If f' (x) > 0 on an open interval extending left from xo and f' (x) < 0 on an open interval
extending right from xo, thenf has a relative maximum at xo.
(b) lf f' (x) < O on an open interval extending left from xo and f' (x) > O on an open interval
extending right from xo, thenf has a relative minimum at xo.
(c) If f' (x) has the same sign on an open interval extending left from xo as it does on an open
interval extending right from xo, thenf does not have a relative extremum at xo.
Transcribed Image Text:Suppose thatf is continuous at a critical point xo. (a) If f' (x) > 0 on an open interval extending left from xo and f' (x) < 0 on an open interval extending right from xo, thenf has a relative maximum at xo. (b) lf f' (x) < O on an open interval extending left from xo and f' (x) > O on an open interval extending right from xo, thenf has a relative minimum at xo. (c) If f' (x) has the same sign on an open interval extending left from xo as it does on an open interval extending right from xo, thenf does not have a relative extremum at xo.
Use any method to find the relative extrema of the function
f(x) = 2x + 27xå.
If there is no relative maximum or minimum, indicate that
using the check box.
NOTE: Enter the exact answers.
f has a relative maximum at the point|(?,?)
| No relative maximum
f has a relative minimum at the point (?, ?)
No relative minimum
Transcribed Image Text:Use any method to find the relative extrema of the function f(x) = 2x + 27xå. If there is no relative maximum or minimum, indicate that using the check box. NOTE: Enter the exact answers. f has a relative maximum at the point|(?,?) | No relative maximum f has a relative minimum at the point (?, ?) No relative minimum
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