'Concave upward' presentation slideshows

APPLICATIONS OF DIFFERENTIATION

4. APPLICATIONS OF DIFFERENTIATION. APPLICATIONS OF DIFFERENTIATION. Many applications of calculus depend on our ability to deduce facts about a function f from information concerning its derivatives. APPLICATIONS OF DIFFERENTIATION. 4.3 How Derivatives Affect the Shape of a Graph.

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APPLICATIONS OF DIFFERENTIATION

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4.3 How Derivatives Affect the Shape of a Graph

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Chapter 5 Graphing and Optimization

Chapter 5 Graphing and Optimization. Section 2 Second Derivative and Graphs. Objectives for Section 5.2 Second Derivatives and Graphs. The student will be able to use concavity as a graphing tool. The student will be able to find inflection points.

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Objectives for Section 12.2 Second Derivatives and Graphs

Objectives for Section 12.2 Second Derivatives and Graphs. The student will be able to use concavity as a graphing tool. The student will be able to find inflection points. The student will be able to analyze graphs and do curve sketching.

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3.3

Relationship between First Derivative, Second Derivative and the Shape of a Graph. 3.3. What Does f ? Say About f ?. The derivative of f can tell us where a function is increasing or decreasing. Example. Another Example. Practice Example:.

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Sec 3.4: Concavity and the Second Derivative Test

Sec 3.4: Concavity and the Second Derivative Test. Determine intervals on which a function is concave upward or concave downward. Find any points of inflection of the graph of a function. Apply the Second Derivative Test to find relative extrema of a function. Definition of Concavity.

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QUIZ REVIEW SECTION 3.3/3.4

QUIZ REVIEW SECTION 3.3/3.4. There are 3 slides. Each slide will remain up for 12 minutes. Be sure to read all directions. You may use the graphing calculator as a guide and assistance but you must show all work! We will be going over the review in 50 minutes.

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