Tap every statement true of a local maximum at c

Exercise and reference answers

Questions

1. Items

   1. Text

      f ′ changes from positive to negative at c

      Matches the category

      Yes

   2. Text

      f ′(c) = 0 and f ″(c) < 0

      Matches the category

      Yes

   3. Text

      f ′ changes from negative to positive at c

      Matches the category

      No

   4. Text

      f ′(c) = 0 and f ″(c) > 0

      Matches the category

      No

   5. Text

      f ′ keeps the same sign through c

      Matches the category

      No

   Category

   Indicates a LOCAL MAXIMUM at c

Explanation