Geometry of the Second Derivative (4 of 4: Why does the Derivative Graphs correlate?)

Поделиться
HTML-код
  • Опубликовано: 4 янв 2025

Комментарии • 6

  • @matemaatika-math
    @matemaatika-math 4 года назад +2

    So you never use the abbreviation "POI" except you do it in the very same video you tell us you never do it.

  • @yasminstone3151
    @yasminstone3151 4 года назад

    what does point of inflection mean in the real world- is it when acceleration changes (does it change direction or velocity)?

    • @carultch
      @carultch Год назад

      Inflection means a point where the concavity of the function switches directions, and the function locally has zero curvature. It could coincide with a stationary point, like it does in y=x^3, or it could be some place entirely different, like it is for a "roller coaster" cubic, such as y = x*(x - 6)^2, at the point of x=4, y=16.
      In beam theory, it's called a point of contraflexure, where the deflection curve switches from "frowning" to "smiling".

  • @hansa5867
    @hansa5867 5 лет назад +1

    This is 3/4

    • @ST-bf9lo
      @ST-bf9lo 4 года назад

      I THINK theres a reason they reordered it this way

    • @matemaatika-math
      @matemaatika-math 4 года назад +1

      It's both 3 and 5.