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Patterns of Inflection

Find the relationship between the locations of points of inflection, maxima and minima of functions.

Calculus Analogies

Stage: 5 Challenge Level: Challenge Level:1
It can be useful to hold your hands as if holding a wheel and imagine driving along a road!
Don't forget to focus your attention on the main concepts in the problem and don't get distracted by questions such as what if the road is not flat etc. This is a mathematical idealisation!