1 / 19

The Quotient Rule

Learn to use the quotient rule effectively for finding derivatives. Understand the steps involved in calculating derivatives of functions expressed as quotients. Practice examples to enhance your skills.

pjill
Télécharger la présentation

The Quotient Rule

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. The Quotient Rule

  2. Objective • To use the quotient rule for differentiation. • ES: Explicitly assessing information and drawing conclusions

  3. The Product Rule Take each derivative NO! Does ?

  4. The Quotient Rule NO Does ?

  5. The Quotient Rule The derivative of a quotient is not necessarily equal to the quotient of the derivatives.

  6. The Quotient Rule • The derivative of a quotient must by calculated using the quotient rule: Low d High minus High d Low, allover Low Low (low squared)

  7. The Quotient Rule 1. Imagine that the function is actually broken into 2 pieces, high and low.

  8. The Quotient Rule 2. In the numerator of a fraction, leave low piece alone and derive high piece.

  9. The Quotient Rule 3. Subtract: Leave high piece alone and derive low piece.

  10. The Quotient Rule 4. In the denominator: Square low piece. This is the derivative!

  11. The Quotient Rule Final Answer

  12. The Quotient Rule Low d High minus High d Low, allover Low Low (low squared)

  13. Low d High minus High d Low, allover Low Low (low squared) Example A: Find the derivative Final Answer

  14. Example B: Find the derivative Low d High minus High d Low, allover Low Low (low squared) Final Answer

  15. Example C: Find the derivative Low d High minus High d Low, allover Low Low (low squared) Final Answer

  16. Example D: Find the derivative Low d High minus High d Low, allover Low Low (low squared) Final Answer

  17. Example E: Find the derivative Low d High minus High d Low, allover Low Low (low squared) Product Rule for D’Hi

  18. The Quotient Rule Final Answer

  19. The Quotient Rule • Remember: The derivative of a quotient is Low, D-High, minus High, D-Low, all over the bottom squared.

More Related