19. A function and it's 1* and 2nd derivative are given. Determine concavity of f and find x-values where points of inflection occur. y = 2x* – 48x² + 7x + 3 y' = 8x³ – 96x +7 y" = 24x² – 96 = 24(x² – 4) = 24(x + 2)(x – 2) %3D

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Author:James Stewart
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Chapter1: Functions And Models
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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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19. A function and it's 1* and 2nd derivative are given. Determine concavity of f and find
x-values where points of inflection occur.
y = 2x* – 48x² + 7x + 3
y' = 8x³ – 96x +7
y" = 24x² – 96 = 24(x² – 4) = 24(x + 2)(x – 2)
%3D
Transcribed Image Text:19. A function and it's 1* and 2nd derivative are given. Determine concavity of f and find x-values where points of inflection occur. y = 2x* – 48x² + 7x + 3 y' = 8x³ – 96x +7 y" = 24x² – 96 = 24(x² – 4) = 24(x + 2)(x – 2) %3D
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