What does tell me
This presentation is the property of its rightful owner.
Sponsored Links
1 / 14

What does tell me? PowerPoint PPT Presentation


  • 29 Views
  • Uploaded on
  • Presentation posted in: General

What does tell me?. Today students will understand the graphical significance of the derivative. Knowing if a function increases or decreases tells us something, but not everything about its possible shape.

Download Presentation

What does tell me?

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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


What does tell me

What does tell me?

Today students will understand the graphical significance of the derivative.


What does tell me

Knowing if a function increases or decreases tells us something, but not everything about its possible shape.

  • Draw an example of a function that is increasing everywhere. What type of function behaves like this? Is there more than one possible shape?

www.brainybetty.com


What does tell me

Knowing if a function increases or decreases tells us something, but not everything about its possible shape.

  • Draw an example of a function that is decreasing, then increasing, then decreasing again. What type of function behaves like this?

www.brainybetty.com


What does tell me

Knowing if a function increases or decreases tells us something, but not everything about its possible shape.

  • Find a function that infinitely alternates between increasing and decreasing. What type of function behaves like this?

www.brainybetty.com


What does tell me

www.brainybetty.com


What does tell me

www.brainybetty.com


Sketch the slope function for each function below

Sketch the slope function for each function below.

What happens to the slope at a corner (called a cusp)?

www.brainybetty.com


Sketch the slope function for each function below1

Sketch the slope function for each function below.

At a corner (cusp) the slopes are not the same from both sides, so the derivative does not exist.

What happens to the slope at a corner (called a cusp)?

www.brainybetty.com


Curve constructor part one

Curve Constructor, Part One

www.brainybetty.com


Curve constructor part one1

Curve Constructor, Part One

  • What are the different orientations of arcs that can be created?

  • For at least four of these, give a sketch and describe a slope statement.

www.brainybetty.com


Curve constructor part one2

Curve Constructor, Part One

  • With this tool, you can create arcs of different sizes and orientations. Then multiple arcs can be connected to make one long continuous curve. Create a few long continuous curves that use all possible orientations of arcs.

www.brainybetty.com


Curve constructor part one3

Curve Constructor, Part One

  • Using the orientations of the arcs given below, can you draw a close approximation to ANY long continuous curve?

www.brainybetty.com


Closure

Closure

  • On what intervals is the function increasing? Is

    positive or negative?

  • On what intervals is the function decreasing? Is

    positive or negative?

  • Where is

  • Sketch from this information.

www.brainybetty.com


Assignment

Assignment

HW D

See yutmrrw!

www.brainybetty.com


  • Login