Chapter 5: Applications of Derivatives
Packets
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5.1 Extreme Values of Functions
Mastery Objectives
Students will be able to determine the local or global extreme values of a function
Notes
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5.2 Mean Value Theorem
Mastery Objectives
Students will be able to apply the Mean Value Theorem and find the intervals on which a function is increasing or decreasing
Notes
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Videos
5.3 f' and f'' with the Graph of f
Mastery Objectives
Students will be able to use the First and Second Derivative Tests to determine the local extreme values of a function
Students will be able to determine the concavity of a function and locate the points of inflection by analyzing the second derivative.
Students will be able to graph f using information about f'
Notes
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5.4 Modeling and Optimization
Mastery Objectives
Students will be able to solve application problems involving finding minimum or maximum values of functions
Notes
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5.5 Linearization and Differentials
Mastery Objectives
Students will be able to find linearizations and use Newton's method to approximate the zeros of a function
Students will be able to estimate the change in a function using differentials
Notes
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5.6 Related Rates
Mastery Objectives
Students will be able to solve related rate problems
Notes
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Review
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Chapter Summary
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