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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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