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Calculus All-in-One For Dummies (+ Chapter Quizzes Online)
book

Calculus All-in-One For Dummies (+ Chapter Quizzes Online)

by Mark Ryan
April 2023
Beginner to intermediate
656 pages
17h 28m
English
For Dummies
Content preview from Calculus All-in-One For Dummies (+ Chapter Quizzes Online)

Unit 4

Differentiation

In This Unit …

  1. Chapter 9: Differentiation Orientation
    1. Differentiating: It’s Just Finding the Slope
    2. The Derivative: It’s Just a Rate
    3. The Derivative of a Curve
    4. The Difference Quotient
    5. Average Rate and Instantaneous Rate
    6. To Be or Not to Be? Three Cases Where the Derivative Does Not Exist
    7. Practice Questions Answers and Explanations
    8. Whaddya Know? Chapter 9 Quiz
    9. Answers to Chapter 9 Quiz
  2. Chapter 10: Differentiation Rules — Yeah, Man, It Rules
    1. Basic Differentiation Rules
    2. Differentiation Rules for Experts — Oh, Yeah, I’m a Calculus Wonk
    3. Differentiating Implicitly
    4. Differentiating Inverse Functions
    5. Scaling the Heights of Higher-Order Derivatives
    6. Practice Questions Answers and Explanations
    7. Whaddya Know? Chapter 10 Quiz
    8. Answers to Chapter 10 Quiz
  3. Chapter 11: Differentiation and the Shape of Curves
    1. Taking a Calculus Road Trip
    2. Finding Local Extrema — My Ma, She’s Like, Totally Extreme
    3. Finding Absolute Extrema on a Closed Interval
    4. Finding Absolute Extrema over a Function’s Entire Domain
    5. Locating Concavity and Inflection Points
    6. Looking at Graphs of Derivatives Till They Derive You Crazy
    7. The Mean Value Theorem — Go Ahead, Make My Day
    8. Practice Questions Answers and Explanations
    9. Whaddya Know? Chapter 11 Quiz
    10. Answers to Chapter 11 Quiz
  4. Chapter 12: Your Problems Are Solved: Differentiation to the Rescue!
    1. Getting the Most (or Least) Out of Life: Optimization Problems
    2. Yo-Yo a Go-Go: Position, Velocity, and Acceleration
    3. Related Rates — They Rate, Relatively
    4. Practice ...
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Publisher Resources

ISBN: 9781119909675Purchase Link