Suppose the function f(x) is continuous everywhere it is defined and that the domain f is {x|x€R, x ±½}. [Read, “the set of x such that x is a real number and x does not equal one half.] Assume also that f'(x) = 6x²-6x (2x-1)²* Based on your sign chart, determine whether f has a local max, min, or neither, at each critical number.
Suppose the function f(x) is continuous everywhere it is defined and that the domain f is {x|x€R, x ±½}. [Read, “the set of x such that x is a real number and x does not equal one half.] Assume also that f'(x) = 6x²-6x (2x-1)²* Based on your sign chart, determine whether f has a local max, min, or neither, at each critical number.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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you need a chart first but do not write it in the solution please.
![1) Suppose the function f(x) is continuous everywhere it is defined and that the domain f
is {x|xeR, x x # 2}. [Read, "the set of x such that x is a real number and x does not equal
one half'.] Assume also that f'(x) =
6x²-6x
(2x-1)2*
c) Based on your sign chart, determine whether f has a local max, min, or neither, at each
critical number.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffcc4e0a2-4ad8-490e-87a8-ff92f67eade4%2Fd19a3e4e-2a3b-4c60-a671-62545dfd9fc4%2Fegod0aj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1) Suppose the function f(x) is continuous everywhere it is defined and that the domain f
is {x|xeR, x x # 2}. [Read, "the set of x such that x is a real number and x does not equal
one half'.] Assume also that f'(x) =
6x²-6x
(2x-1)2*
c) Based on your sign chart, determine whether f has a local max, min, or neither, at each
critical number.
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