2. If f ' (x) > 0 on an interval then f is increasing on that
interval.

3. If f ' (x) < 0 on an interval then f is decreasing on that
interval.

4. Critical Numbers:
A number c in the domain of a function f is called a
critical number if either
i) f '(c) = 0 or ii) f '(c) does not exist

5. f(x) = x3 ­ x2 ­ 2x

6. f ' (x)

7. Point of inflection:
A point on the graph where the curve changes concavity

8. Use nDeriv to find the local minimum of
f(x) = x3 ­ 4x2 + 3x ­ 5

9. f(x) = x3 ­ 4x2 + 3x ­ 5

12. Now give it a try:
Exercise 2.5
Questions 1 ­ 15, odd only