5. Find the extremum points of the function (the minimum and maximum points, the values of the function at the extremum points). Find the regions of convexity and concavity of the function (the inflection points and the values of the function at the inflection points). Find the intersection points of the function with the abscissa axis and the ordinate axis. Draw a sketch of the function based on the found points. y = 2x – 15x2 + 36x – 14.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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5. Find the extremum points of the function (the minimum and maximum points, the values of the function
at the extremum points). Find the regions of convexity and concavity of the function (the inflection points
and the values of the function at the inflection points). Find the intersection points of the function with
the abscissa axis and the ordinate axis. Draw a sketch of the function based on the found points.
y = 2x3 – 15x2 + 36x – 14.
Transcribed Image Text:5. Find the extremum points of the function (the minimum and maximum points, the values of the function at the extremum points). Find the regions of convexity and concavity of the function (the inflection points and the values of the function at the inflection points). Find the intersection points of the function with the abscissa axis and the ordinate axis. Draw a sketch of the function based on the found points. y = 2x3 – 15x2 + 36x – 14.
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