AD.2: Find a tangent line to a curve at a point and a local linear approximation.
AD.2: Find a tangent line to a curve at a point and a local linear approximation.
- Derivatives and Tangent Lines
- The Derivative
- Estimating a Function Value Using the Linear Approximation
- Find slope & equation of tangent line at a given point
- Tangent Line Approximation
- Slopes of Tangent Lines via Limits Exercises
- Tangent Lines Exercises
- Tangent Lines and Normal Lines Exercises
- Some Differentiation Formulas Exercises
Find a tangent line to a curve at a point and a local linear approximation.
Derivatives and Tangent Lines
by Allen WolmerA Youtube Calculus Workbook (Part 1). A guide through a playlist of instructional Calculus Videos.
Sect 3.8 pp 59-61, Sect 5.4, pp 78-80, Sect 6.3 pp 87-88, Sect 6.7, pp 94-95, Sect 7.1-2, pp 101-105
The first time you access this link to download the PDF, you will be asked four questions. Any that do not apply to you may be answered using any of the options listed.
The Derivative
by Allen WolmerOnline text describing how to:
Demonstrate an understanding of the derivative of a function as a slope of the tangent line.
Demonstrate an understanding of the derivative as an instantaneous rate of change.
Understand the relationship between continuity and differentiability.
Estimating a Function Value Using the Linear Approximation
by Allen WolmerFind slope & equation of tangent line at a given point
by Allen WolmerTangent Line Approximation
by Allen WolmerFirefly Lectures video on this topic
Video duration: 11:12
Slopes of Tangent Lines via Limits Exercises
by Allen WolmerMooculus Calculus Textbook Sect 3.1, p 53-54 (Ans. p 247)
This set of exercises supports the following Standards of Mathematical Practice
- 1 Make sense of problems and persevere in solving them.
- 2 Reason abstractly and quantitatively.
- 5 Use appropriate tools strategically.
- 6 Attend to precision.
- 7 Look for and make use of structure.
Tangent Lines Exercises
by Allen WolmerThis set of exercises supports the following Standards of Mathematical Practice
- 1 Make sense of problems and persevere in solving them.
- 5 Use appropriate tools strategically.
- 6 Attend to precision.
- 7 Look for and make use of structure.
- 8 Look for and express regularity in repeated reasoning.
Tangent Lines and Normal Lines Exercises
by Allen WolmerThis set of exercises supports the following Standards of Mathematical Practice
- 1 Make sense of problems and persevere in solving them.
- 5 Use appropriate tools strategically.
- 6 Attend to precision.
- 7 Look for and make use of structure.
Some Differentiation Formulas Exercises
by Allen WolmerThis set of exercises supports the following Standards of Mathematical Practice
- 1 Make sense of problems and persevere in solving them.
- 2 Reason abstractly and quantitatively.
- 5 Use appropriate tools strategically.
- 6 Attend to precision.
- 7 Look for and make use of structure.