Find the x-coordinates of all critical points of the given function. Determine whether each critical point is a relative maximum, a relative minimum, or neither, by first applying the second derivative test, and, if the test fals, by some method. g(x) - x - 3x + 7 g has-Select--- vat the critical point x = (smaller x-value) -Select-- g has at the critical point x- (larger x-value) a relative maximum a relative minimum Submi no relative extrema 17. DETAILS

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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Find the x-coordinates of all critical points of the given function. Determine whether each critical point is a relative maximum, a relatíve minimum, or neither, by first applying the second derívative test, and, if the test fails, by some other
method.
g(x) = x³ – 3x + 7
g has ---Select---
Vat the critical point x =
(smaller x-value)
-Select---
at the critical point x =
(larger x-value)
g has
a relative maximum
a relative minimum
Submi
no relative extrema
17.
DETAILS
Transcribed Image Text:Find the x-coordinates of all critical points of the given function. Determine whether each critical point is a relative maximum, a relatíve minimum, or neither, by first applying the second derívative test, and, if the test fails, by some other method. g(x) = x³ – 3x + 7 g has ---Select--- Vat the critical point x = (smaller x-value) -Select--- at the critical point x = (larger x-value) g has a relative maximum a relative minimum Submi no relative extrema 17. DETAILS
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