'First derivative test' diaporamas de présentation

Math 140

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SKETCHING THE GRAPH USING THE FIRST DERIVATIVE TEST

SKETCHING THE GRAPH USING THE FIRST DERIVATIVE TEST. Standard of Competence : 6. To use The concept of Function Limit and Function deferential in problem solving. Basic Competenc e : 6.4 To use The derived to find the caracteristic of functions and to solve the problems. Indicator :

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Increasing and Decreasing Functions and the First Derivative Test

Increasing and Decreasing Functions and the First Derivative Test. Determine the intervals on which a function is increasing or decreasing Apply the First Derivative Test to find relative extrema of a function. Standard 4.5a. y. Increasing. Decreasing. Constant. x.

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AP Calculus Section 3.4 Concavity and the Second Derivative Test

AP Calculus Section 3.4 Concavity and the Second Derivative Test . Student Notes Definitions, Theorems, and Examples. Definition.

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3.3 Increasing and Decreasing Functions and the First Derivative Test

3.3 Increasing and Decreasing Functions and the First Derivative Test. After this lesson, you should be able to:. To determine algebraically when a function is increasing, decreasing. Apply the First Derivative Test to find relative extrema of a function . a b c. a b c.

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AP Calculus Section 3.3 Increasing and Decreasing Functions and The First Derivative Test

AP Calculus Section 3.3 Increasing and Decreasing Functions and The First Derivative Test. Student Notes Definitions, Theorems, and Examples. Definition.

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Section 4.3

Section 4.3. Increasing and Decreasing Functions and the First Derivative Test. Relative Extrema. f(x). Relative Maximum . Relative Minimum . Relative Extrema. f(x). Relative Extrema. f(x). Relative Extrema. f(x). Increasing and Decreasing. Example 1 .

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maxima and minima

maxima and minima. SKETCHING THE GRAPH USING THE FIRST DERIVATIVE TEST. Standard of Competence : To use The concept of Function Limit and Function deferential in problem solving. Basic Competenc e : To use The derived to find the caracteristic of functions and to solve the problems.

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Calculus Chapter 4

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4.3 Extreme Values of Functions

4.3 Extreme Values of Functions. Borax Mine, Boron, CA Photo by Vickie Kelly, 2004. Greg Kelly, Hanford High School, Richland, Washington. Local Extreme Values:. A local maximum is the maximum value within some open interval.

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Relative Extrema

Relative Extrema. Lesson 5.5. Video Profits Revisited. Recall our Digitari manufacturer Cost and revenue functions C(x) = 4.8x - .0004x 2 0 ? x ? 2250 R(x) = 8.4x - .002x 2 0 ? x ? 2250 Cost, revenue, and profit functions. Maximum profit when

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4.3 Derivatives and the shapes of graphs 4.4 Curve Sketching

4.3 Derivatives and the shapes of graphs 4.4 Curve Sketching. Derivatives and the shapes of graphs. Increasing / Decreasing Test: If f ? (x) > 0 on an interval, then f is increasing on that interval. If f ? (x) < 0 on an interval, then f is decreasing on that interval.

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Increasing and Decreasing Functions

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Objectives: Be able to determine where a function is concave upward or concave downward with the use of calculus.

Concavity and the 2nd Derivative Test. Objectives: Be able to determine where a function is concave upward or concave downward with the use of calculus. Be able to apply the second derivative test to find the relative extrema of a function. Critical Vocabulary:

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3.3 Increasing and Decreasing Functions and the First Derivative Test

3.3 Increasing and Decreasing Functions and the First Derivative Test. What are we doing?. In this section we are going to be using the derivative to classify whether a relative extrema is either a minima or maxima. How did we do this classification before?.

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Miss Battaglia AP Calculus AB/BC

3.4 Concavity and the Secondary Derivative Test Objective: Determine on intervals on which a function is concave up or down; find any points of inflection; apply the Second Derivative Test. Miss Battaglia AP Calculus AB/BC. Definition of Concavity.

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Miss Battaglia AP Calculus AB/BC

3.3 Increasing and Decreasing and the First Derivative Test Objective: Determine intervalues in which a function is increasing or decreasing and apply the First Derivative Test. Miss Battaglia AP Calculus AB/BC. Increasing and Decreasing Functions.

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Chapter 3: Applications of Differentiation

Chapter 3: Applications of Differentiation. L3.3 Increasing / Decreasing Functions and the First Derivative Test . Increasing and Decreasing Functions. If for every x 1 < x 2 on an interval f(x 1 ) < f(x 2 ) , then f is increasing [as x?, f ? ]

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