Reading the tests back

Exercise and reference answers

Questions

1. Question

   f ′ changing negative → positive at c gives

   Choices

   1. local maximum
   2. local minimum
   3. inflexion

   Correct choice

   local minimum

2. Question

   f ′ keeping its sign through c gives

   Choices

   1. local minimum
   2. local maximum
   3. point of inflexion

   Correct choice

   point of inflexion

3. Question

   A critical point is where

   Choices

   1. f ′(c) = 0 or f is not differentiable
   2. f(c) = 0
   3. f ″(c) = 0

   Correct choice

   f ′(c) = 0 or f is not differentiable

4. Question

   The absolute maximum over [a, b] is found by comparing

   Choices

   1. only critical values
   2. critical values and endpoint values
   3. only endpoint values

   Correct choice

   critical values and endpoint values

Explanation