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MAXIMA AND MINIMA OF FUNCTIONS Lesson 2.2. Definitions Global extrema : If f(c) f(x) for all x in the domain of f, f(c) is the global maximum value of
MAXIMA AND MINIMA OF FUNCTIONS Lesson 2.2. Definitions Global extrema : If f(c) f(x) for all x in the domain of f, f(c) is the global maximum value of
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1 When you see… Find the zeros You think…. 2 To find the zeros
1 When you see… Find the zeros You think…. 2 To find the zeros
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Extreme Values of Functions. Example: The mileage of a certain car can be approximated by: At what speed should you drive the car to obtain the best gas
Extreme Values of Functions. Example: The mileage of a certain car can be approximated by: At what speed should you drive the car to obtain the best gas
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Local Maximum/Minimum of Continuous Functions. The intervals where a continuous function f (x) increases are exactly the intervals where f ’(x) > 0. The
Local Maximum/Minimum of Continuous Functions. The intervals where a continuous function f (x) increases are exactly the intervals where f ’(x) > 0. The
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SECTION 1.7 Graphs of Functions. T HE F UNDAMENTAL G RAPHING P RINCIPLE FOR F UNCTIONS The graph of a function f is the set of points which satisfy the
SECTION 1.7 Graphs of Functions. T HE F UNDAMENTAL G RAPHING P RINCIPLE FOR F UNCTIONS The graph of a function f is the set of points which satisfy the
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4.1 Extreme Values of Functions Greg Kelly, Hanford High School, Richland, Washington Borax Mine, Boron, CA Photo by Vickie Kelly, 2004
4.1 Extreme Values of Functions Greg Kelly, Hanford High School, Richland, Washington Borax Mine, Boron, CA Photo by Vickie Kelly, 2004
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APPLICATIONS OF DIFFERENTIATION 4. The method we used to sketch curves in Section 4.5 was a culmination of much of our study of differential calculus
APPLICATIONS OF DIFFERENTIATION 4. The method we used to sketch curves in Section 4.5 was a culmination of much of our study of differential calculus
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Activity 30:
Activity 30:
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4.1 Extreme Values of Functions
4.1 Extreme Values of Functions
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Extreme Values. NotationSet NotationPicture (a,b) [a,b] [a,b) (a,b] (a,∞) [a, ∞) a < x < b x > a Intervals Inequalities 1.If a < b then a + c < b + c
Extreme Values. NotationSet NotationPicture (a,b) [a,b] [a,b) (a,b] (a,∞) [a, ∞) a < x < b x > a Intervals Inequalities 1.If a < b then a + c < b + c
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S ECTION 1.6 Graphs of Functions. T HE F UNDAMENTAL G RAPHING P RINCIPLE FOR F UNCTIONS The graph of a function f is the set of points which satisfy the
S ECTION 1.6 Graphs of Functions. T HE F UNDAMENTAL G RAPHING P RINCIPLE FOR F UNCTIONS The graph of a function f is the set of points which satisfy the
220 views
4.1 Extreme Values of Functions Greg Kelly, Hanford High School Richland, Washington
4.1 Extreme Values of Functions Greg Kelly, Hanford High School Richland, Washington
214 views