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Does the function x^3 have any extrema (absolute max/min, relative max/min)? If so, where would it be?

 

Also, I wanted to make sure if point of inflection isn't a type of extrema. Only maximum and minimum would be classified as extrema, right?

Guest Nov 13, 2017
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The slope - except at (0,0) -  is always positive so there are no  "extremes"

 

The inflection point (0,0) is not an "extreme"......the slope would have to change on either side of this point, but it doesn't.....the inflection point just represents the point where - in this  case - the curve changes from concave down to concave up

 

 

cool cool cool

CPhill  Nov 13, 2017

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