1. Find all the critical numbers of the function (Justify Your Answer) (a) [5Vx – 2 f(x) = x > 2 2.x2 +3x - 14 x< 2 (Hint: Also investigate the existence of the derivative at x=2) (b) f (x) = x² – 2 ln x

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
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1. Find all the critical numbers of the function (Justify Your Answer)
(a)
5Vx- 2
f (x) =
2.x2 + 3x – 14 x < 2
x > 2
%3D
(Hint: Also investigate the existence of the derivative at x=2)
(b)
f (x) = x² – 2 ln x
Transcribed Image Text:1. Find all the critical numbers of the function (Justify Your Answer) (a) 5Vx- 2 f (x) = 2.x2 + 3x – 14 x < 2 x > 2 %3D (Hint: Also investigate the existence of the derivative at x=2) (b) f (x) = x² – 2 ln x
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