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  • MA101: Single-Variable Calculus I
  • Sections
  • Course Introduction
  • Unit 1: Analytic Geometry
  • Unit 2: Instantaneous Rate of Change: The Derivative
  • Unit 3: Rules for Finding Derivatives
  • Unit 4: Transcendental Functions
  • Unit 5: Curve Sketching
  • Unit 6: Applications of the Derivative
  • Unit 7: Integration
  • Unit 8: Applications of Integration
  • Final Exam
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MA101: Single-Variable Calculus I

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  4. MA101: Single-Variable Calculus I
  5. Sections
  6. Unit 5: Curve Sketching
  7. 5.4: Concavity and Inflection Points

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Back to 'Unit 5: Curve Sketching\'
  • 5.4: Concavity and Inflection Points

    • Whitman College: David Guichard's "Calculus, Chapter 5: Curve Sketching, Section 5.4: Concavity and Inflection Points" URL

      Read Section 5.4 (pages 109 and 110). In this reading, you will see how the second derivative relates to concavity of the graph of a function and use this information to find the points where the concavity changes, i.e. the inflection points of the graph.

    • Whitman College: David Guichard's "Calculus, Chapter 5: Curve Sketching, Exercises 5.4: Problems 1-9, 19" URL

      Work through problems 1-9 and 19 for Exercise 5.4. When you are done, check your answers against Appendix A.

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