Barrons AP Calculus

Figure  N4–12

Point x = Behavior of f Behavior of f ′

c (^1) f (c 1 ) is a local max f ′ (c 1 ) = 0; f ′ changes sign from

• to −
  c (^2) c 2 is an inflection point of f ; the
  graph of f changes concavity
  from down to up
  f ′ changes from decreasing to
  increasing; f ′ (c 2 ) is a local
  minimum
  c 3 f (c 3 ) is a local minimum f ′ (c 3 ) = 0; f ′ changes sign from
  − to +
  c (^4) c 4 is an inflection point of f ; the f ′ changes from increasing to