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f(x) = 2x + 9x² – 60x Do a full investigation: list the critical points, find intervals on which it is increasing, decreasing, local extremes, intervals of concavity, inflection points , vertical and horizontal asymptotes, if they exist limit at infinity. Be as detailed as you can. Always mention which test you are using. Explain your work. Draw a sketch and indicate your finding. That is to say show on your drawing the critical points, the local maximum and minimum, the inflection point(s).

f(x) = 2x + 9x² – 60x Do a full investigation: list the critical points, find intervals on which it is increasing, decreasing, local extremes, intervals of concavity, inflection points , vertical and horizontal asymptotes, if they exist limit at infinity. Be as detailed as you can. Always mention which test you are using. Explain your work. Draw a sketch and indicate your finding. That is to say show on your drawing the critical points, the local maximum and minimum, the inflection point(s).

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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f(x) = 2x + 9x² – 60x Do a full investigation: list the critical points, find intervals on which it is increasing, decreasing, local extremes, intervals of concavity, inflection points , vertical and horizontal asymptotes, if they exist limit at infinity. Be as detailed as you can. Always mention which test you are using. Explain your work. Draw a sketch and indicate your finding. That is to say show on your drawing the critical points, the local maximum and minimum, the inflection point(s).
Transcribed Image Text:f(x) = 2x + 9x² – 60x Do a full investigation: list the critical points, find intervals on which it is increasing, decreasing, local extremes, intervals of concavity, inflection points , vertical and horizontal asymptotes, if they exist limit at infinity. Be as detailed as you can. Always mention which test you are using. Explain your work. Draw a sketch and indicate your finding. That is to say show on your drawing the critical points, the local maximum and minimum, the inflection point(s).
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