1 / 6

Higher Derivatives

2.3 Geometrical Application of Calculus. Higher Derivatives. Just Differentiate again. and again. and again. 2.3 Geometrical Application of Calculus. 1. Find the first 4 derivatives of. f(x) = x 3 - 4x 2 + 3x -2. f’(x) = 3x 2 - 8x +3. f’’(x) = 6x - 8. f’’’(x) = 6. f’’’’(x) = 0.

moana-christian
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. 2.3 Geometrical Application of Calculus Higher Derivatives Just Differentiate again and again and again.

  2. 2.3 Geometrical Application of Calculus 1. Find the first 4 derivatives of f(x) = x3 - 4x2 + 3x -2 f’(x) = 3x2 - 8x+3 f’’(x) = 6x - 8 f’’’(x) = 6 f’’’’(x) = 0

  3. 2.3 Geometrical Application of Calculus Rules for Differentiation If f(x) = xnthen … f’(x) = nxn-1 and If f(x) = axnthen … f’(x) = anxn-1

  4. 2.3 Geometrical Application of Calculus Rules for Differentiation Function of a Function Rule If y = (u)nthen … or

  5. 2.3 Geometrical Application of Calculus Rules for Differentiation Product Rule If y = uvthen …

  6. 2.3 Geometrical Application of Calculus Rules for Differentiation Quotient Rule If y = uthen … v

More Related