Let f(x)=xex. (Round all answers to four decimal places, if necessary.) (a) Find the interval(s) where f(x) is concave up. (Enter your answer using interval notation.) (-00,00) × (b) Find the interval(s) where f(x) is concave down. (Enter your answer using interval notation.) NONE (c) Find the x-value(s) of the inflection points of f(x). (Enter your answers as a comma-separated list. If there are no inflection points, enter NONE.) x= NONE
Let f(x)=xex. (Round all answers to four decimal places, if necessary.) (a) Find the interval(s) where f(x) is concave up. (Enter your answer using interval notation.) (-00,00) × (b) Find the interval(s) where f(x) is concave down. (Enter your answer using interval notation.) NONE (c) Find the x-value(s) of the inflection points of f(x). (Enter your answers as a comma-separated list. If there are no inflection points, enter NONE.) x= NONE
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 21T
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Step 1: Define the problem
VIEWStep 2: Determine the first derivative of function
VIEWStep 3: Determine the second derivative of f(x)
VIEWStep 4: Determine the x values where f''(x)=0
VIEWStep 5: Determine the sign table for f''(x)
VIEWStep 6: Determine the interval(s) where f(x) is concave up
VIEWStep 7: Determine the interval(s) where f(x) is concave down
VIEWStep 8: Determine the x value of inflection point
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