Book contents
- Frontmatter
- Dedication
- Preface
- Contents
- I Limits and Differentiation
- 1 The limit of (sin t)/t
- 2 Approximating π with the limit of (sin t)/t
- 3 Visualizing the derivative
- 4 The product rule
- 5 The quotient rule
- 6 The chain rule
- 7 The derivative of the sine
- 8 The derivative of the arctangent
- 9 The derivative of the arcsine
- 10 Means and the mean value theorem
- 11 Tangent line inequalities
- 12 A geometric illustration of the limit for e
- 13 Which is larger, eπ or πe? ab or ba?
- 14 Derivatives of area and volume
- 15 Means and optimization
- II Integration
- III Infinite Series
- IV Additional Topics
- V Appendix: Some Precalculus Topics
- Solutions to the Exercises
- References
- Index
- About the Author
This chapter is part of a book that is no longer available to purchase from Cambridge Core
9 - The derivative of the arcsine
from I - Limits and Differentiation
Book contents
- Frontmatter
- Dedication
- Preface
- Contents
- I Limits and Differentiation
- 1 The limit of (sin t)/t
- 2 Approximating π with the limit of (sin t)/t
- 3 Visualizing the derivative
- 4 The product rule
- 5 The quotient rule
- 6 The chain rule
- 7 The derivative of the sine
- 8 The derivative of the arctangent
- 9 The derivative of the arcsine
- 10 Means and the mean value theorem
- 11 Tangent line inequalities
- 12 A geometric illustration of the limit for e
- 13 Which is larger, eπ or πe? ab or ba?
- 14 Derivatives of area and volume
- 15 Means and optimization
- II Integration
- III Infinite Series
- IV Additional Topics
- V Appendix: Some Precalculus Topics
- Solutions to the Exercises
- References
- Index
- About the Author
Summary
A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
- Type
- Chapter
- Information
- Cameos for CalculusVisualization in the First-Year Course, pp. 19 - 20Publisher: Mathematical Association of AmericaPrint publication year: 2015