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Enter DNE if an answer does not exist. f(x) = x° ln x, x > 0. a) Determine the intervals on which f is concave up and concave down. f is concave up on: f is concave down on: b) Based on your answer to part (a), determine the inflection points of f. Each point should be entered as an ordered pair (that is, in the form (x, y)). (Separate multiple answers by commas.) c) Find the critical numbers of f and use the Second Derivative Test, when possible, to determine the relative extrema. List only the x-coordinates. Relative maxima at: (Separate multiple answers by commas.) Relative minima at: (Separate multiple answers by commas.)

Enter DNE if an answer does not exist. f(x) = x° ln x, x > 0. a) Determine the intervals on which f is concave up and concave down. f is concave up on: f is concave down on: b) Based on your answer to part (a), determine the inflection points of f. Each point should be entered as an ordered pair (that is, in the form (x, y)). (Separate multiple answers by commas.) c) Find the critical numbers of f and use the Second Derivative Test, when possible, to determine the relative extrema. List only the x-coordinates. Relative maxima at: (Separate multiple answers by commas.) Relative minima at: (Separate multiple answers by commas.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 80E
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1:53 E O 33° OK A • WeBWork : MATH_2450_DE... webwork.piedmont.edu Previous Problem Problem List Next Problem NOTE: When using interval notation in WeBWork, remember that: You use 'INF' for o and '-INF' for And use 'U' for the union symbol. . Enter DNE if an answer does not exist. f(x) = x° ln x, x > 0. a) Determine the intervals on which f is concave up and concave down. f is concave up on: f is concave down on: b) Based on your answer part (a), determine the inflection points of f. Each point should be entered as an ordered pair (that is, in the form (x, y)). (Separate multiple answers by commas.) c) Find the critical numbers of f and use the Second Derivative Test, when possible, to determine the relative extrema. List only the x-coordinates. Relative maxima at: (Separate multiple answers by commas.) Relative minima at: (Separate multiple answers by commas.) Note: You can earn partial credit on this problem.
Transcribed Image Text:1:53 E O 33° OK A • WeBWork : MATH_2450_DE... webwork.piedmont.edu Previous Problem Problem List Next Problem NOTE: When using interval notation in WeBWork, remember that: You use 'INF' for o and '-INF' for And use 'U' for the union symbol. . Enter DNE if an answer does not exist. f(x) = x° ln x, x > 0. a) Determine the intervals on which f is concave up and concave down. f is concave up on: f is concave down on: b) Based on your answer part (a), determine the inflection points of f. Each point should be entered as an ordered pair (that is, in the form (x, y)). (Separate multiple answers by commas.) c) Find the critical numbers of f and use the Second Derivative Test, when possible, to determine the relative extrema. List only the x-coordinates. Relative maxima at: (Separate multiple answers by commas.) Relative minima at: (Separate multiple answers by commas.) Note: You can earn partial credit on this problem.
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