1 / 7

Higher Derivatives

Higher Derivatives. If f is differentiable to f’ , then f’ may have its own derivative, f’’ , called the second derivative This is the rate of change in f’ – how fast f’ is changing. Example. If , find f’’. More.

laddie
Download Presentation

Higher 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. Higher Derivatives

  2. If f is differentiable to f’, then f’ may have its own derivative, f’’, called the second derivative • This is the rate of change in f’ – how fast f’ is changing

  3. Example If , find f’’

  4. More Derivative of f’’ is f’’’ – Third Derivative Derivative of f’’’ is f’’’’ – Fourth Derivative Etc.

  5. Example Find y’’’’ or y(4)of

  6. Example Find D(27)of y = cos x

  7. Acceleration • Velocity is how fast distance is changing (f’) • Acceleration is how fast velocity is changing (f’’) • A particle’s position is given by the function , find its acceleration at 4.0 sec. Graph the position, velocity, and acceleration functions and explain.

More Related