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Given the function f(x)=xel-2x²: a) Determine lim xe- and lim xe-2x² 24 X b) Determine all extrema of the function f. Classify the extrema into relative and/or absolute. Show all details of your analysis and summarize your results in a table of variation. Note that the graph of the function is not required.

Given the function f(x)=xel-2x²: a) Determine lim xe- and lim xe-2x² 24 X b) Determine all extrema of the function f. Classify the extrema into relative and/or absolute. Show all details of your analysis and summarize your results in a table of variation. Note that the graph of the function is not required.

Advanced Engineering Mathematics
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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Given the function f(x)=xel-2x²: a) Determine lim xe-2 and lim xe-2x² X- X- b) Determine all extrema of the function f. Classify the extrema into relative and/or absolute. Show all details of your analysis and summarize your results in a table of variation. Note that the graph of the function is not required.
Transcribed Image Text:Given the function f(x)=xel-2x²: a) Determine lim xe-2 and lim xe-2x² X- X- b) Determine all extrema of the function f. Classify the extrema into relative and/or absolute. Show all details of your analysis and summarize your results in a table of variation. Note that the graph of the function is not required.
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