Created on: October 31, 2014

Website Address: https://library.curriki.org/oer/AD2-Find-a-tangent-line-to-a-curve-at-a-point-and-a-local-linear-approximation

TABLE OF CONTENTS

- 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.

A 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 101-105The 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.

Online 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.

MIT Open Courseware video on this topic

A Youtube video on this topicVideo duration: 9:50

Firefly Lectures video on this topicVideo duration: 11:12

Mooculus Calculus Textbook Sect 3.1, p 53-54 (Ans. p 247)This set of exercises supports the following Standards of Mathematical Practice1 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.

This set of exercises supports the following Standards of Mathematical Practice1 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.

This set of exercises supports the following Standards of Mathematical Practice1 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.

This set of exercises supports the following Standards of Mathematical Practice1 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.