1 / 12

Understanding Tangent Lines and Linear Approximation

Learn about tangent lines as approximations of curves, known as linearization, to estimate errors using differentials in mathematical calculations.

rarrington
Download Presentation

Understanding Tangent Lines and Linear Approximation

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. What is y=L(x) ? The tangent line is considered as an approximation of the curve y=f(x)

  2. The tangent line is considered as an approximation of the curve y=f(x) is called the linear approximationor tangent line approximation is called the linearizationof f at a.

  3. Example: F091

  4. Example: F091

  5. Differential We want to approximate Find the tangent line L(x) then use it to find

  6. Differential

  7. Example: 081

  8. Example: 092 • 0,014 • 0.001 • 0.01 • 0.021 • 0.045

  9. Next example illustrates the use of differentials in estimating the errors that occur because of approximate measurements. Example: F091

  10. Example: F091

  11. Example: F091

More Related