Which test is being described?

Exercise and reference answers

Items

1. Item

   Checks the sign of f ′ either side of c

   Category

   First derivative test

2. Item

   Can identify a point of inflexion

   Category

   First derivative test

3. Item

   Needs only f ′ to exist near c

   Category

   First derivative test

4. Item

   Uses the sign of f ″(c)

   Category

   Second derivative test

5. Item

   Needs f to be twice differentiable at c

   Category

   Second derivative test

6. Item

   Fails outright when f ″(c) = 0

   Category

   Second derivative test

Categories

1. Item

   First derivative test

2. Item

   Second derivative test

Explanation