Chapter 4: Applications of Differentiation.

4.1 Maximum and Minimum Values.

Maxima and Minima.

0:00 Maxima and Minima.

0:33 Absolute Maxima and Minima.

2:08 Examples within Graphs.

12:21 Extreme Value Theorem.

13:02 Local Maximum and Local Minimum.

13:59 Local Extreme Value Theorem.

14:44 Critical Points.

16:57 Example: Find the critical points of the following function f(x) = 3x^2- 4x +2.

18:00 Example: Find the critical points of the following function f(x) = (1 / x ) +ln (x).

18:59 Example: Find the critical points of the following function f(x) = x ^2 (SQRT ( x+5)).

20:35 Example: Determine the location and value of the Absolute Extreme Values of f ( x ) = x^2 -10 on [ -2, 3].

22:57 Example: Determine the location and value of the Absolute Extreme Values of f ( x ) = x^4 -4 x^3 +4 X^2 on [ -1, 3].