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4.1 Extreme Values of Functions

4.1 Extreme Values of Functions

4.1 Extreme Values of Functions. Absolute extreme values are either maximum or minimum points on a curve. They are sometimes called global extremes. They are also sometimes called absolute extrema . ( Extrema is the plural of the Latin extremum .). 4.1 Extreme Values of Functions.

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1.36k views • 97 slides
Chapter 3 Application of Derivatives

Chapter 3 Application of Derivatives

Chapter 3 Application of Derivatives. 3.1 Extreme Values of Functions. Absolute maxima or minima are also referred to as global maxima or minima. Examples. Extreme Value Theorem. The requirements in Theorems 1 that the interval be closed and finite, and

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Hu?nh Ti?n S?

Hu?nh Ti?n S?

Maximum and Minimum Values. 3. Hu?nh Ti?n S?. Maximum and Minimum Values.

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Extreme Values

Extreme Values

Extreme Values. Intervals. Notation Set Notation Picture. (a,b) [a,b] [a,b) (a,b] (a,?) [a, ?). a < x < b a < x < b a < x < b a < x < b x > a x > a. Inequalities. If a < b then a + c < b + c If a < b and c < d then a + c < b + d If a < b and c > 0 then ac < bc

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Applications of Differentiation

Applications of Differentiation

Applications of Differentiation. 3. 3.1. Maximum and Minimum Values. Maximum and Minimum Values. Some of the most important applications of calculus are optimization problems , which find the optimal way of doing something. Meaning: find the maximum or minimum values of some function.

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2.12k views • 14 slides
3.3: The Second Derivative and Curve Sketching

3.3: The Second Derivative and Curve Sketching

3.3: The Second Derivative and Curve Sketching. The Second derivative test. Concavity. Concavity determines whether the graph is curving upward (concave up) or downward (concave down). If f ?? > 0, then f is concave up at that point. If f ?? < 0, then f is concave down at that point.

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103 views • 9 slides

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