Chapter 4: Applications of Differentiation.
Chapter 4: Applications of Differentiation.
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].