1 / 10

3.1 Derivatives

Photo by Vickie Kelly, 2003. Greg Kelly, Hanford High School, Richland, Washington. 3.1 Derivatives. Great Sand Dunes National Monument, Colorado. We write:. There are many ways to write the derivative of. is called the derivative of at.

lawrences
Download Presentation

3.1 Derivatives

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. Photo by Vickie Kelly, 2003 Greg Kelly, Hanford High School, Richland, Washington 3.1 Derivatives Great Sand Dunes National Monument, Colorado

  2. We write: There are many ways to write the derivative of is called the derivative of at . “The derivative of f with respect to x is …”

  3. “the derivative of f with respect to x” “f prime x” or “y prime” “the derivative of y with respect to x” or “dee why dee ecks” “the derivative of f with respect to x” or “dee eff dee ecks” “the derivative of f of x” “dee dee ecks uv eff uv ecks” or

  4. Note: dx does not mean d times x ! dy does not mean d times y !

  5. does not mean ! does not mean ! Note: (except when it is convenient to think of it as division.) (except when it is convenient to think of it as division.)

  6. does not mean times ! Note: (except when it is convenient to treat it that way.)

  7. In the future, all will become clear.

  8. The derivative is the slope of the original function. The derivative is defined at the end points of a function on a closed interval.

  9. A function is differentiable if it has a derivative everywhere in its domain. It must be continuous and smooth. Functions on closed intervals must have one-sided derivatives defined at the end points. p

More Related