1 / 50

Implicit Differentiation

Implicit Differentiation. - Used in cases where it is impossible to solve for “ y ” as an explicit function of “ x ”. Implicit Differentiation. - Used in cases where it is impossible to solve for “ y ” as an explicit function of “ x ”. Implicit Differentiation.

absolom
Download Presentation

Implicit Differentiation

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. Implicit Differentiation - Used in cases where it is impossible to solve for “y” as an explicit function of “x”

  2. Implicit Differentiation - Used in cases where it is impossible to solve for “y” as an explicit function of “x”

  3. Implicit Differentiation - Used in cases where it is impossible to solve for “y” as an explicit function of “x”

  4. Implicit Differentiation

  5. Implicit Differentiation OK, here is how I like to attack these :

  6. Implicit Differentiation OK, here is how I like to attack these : - get your x’s and number together and take the derivative

  7. Implicit Differentiation OK, here is how I like to attack these : - get your x’s and number together and take the derivative

  8. Implicit Differentiation OK, here is how I like to attack these : - get your x’s and number together and take the derivative - get the y’s together and take the derivative

  9. Implicit Differentiation OK, here is how I like to attack these : - get your x’s and number together and take the derivative - get the y’s together and take the derivative

  10. Implicit Differentiation

  11. Implicit Differentiation

  12. Implicit Differentiation

  13. Implicit Differentiation

  14. Implicit Differentiation this is the derivative

  15. Implicit Differentiation

  16. Implicit Differentiation Let’s get it in standard form :

  17. Implicit Differentiation Let’s get it in standard form :

  18. Implicit Differentiation Let’s get it in standard form : - get your x’s and number together and take the derivative

  19. Implicit Differentiation Let’s get it in standard form : - get your y’s together and take the derivative

  20. Implicit Differentiation Let’s get it in standard form :

  21. Implicit Differentiation Let’s get it in standard form :

  22. Implicit Differentiation Let’s get it in standard form :

  23. Implicit Differentiation Let’s get it in standard form :

  24. Implicit Differentiation Let’s get it in standard form : - This is your derivative

  25. Implicit Differentiation

  26. Implicit Differentiation

  27. Implicit Differentiation

  28. Implicit Differentiation

  29. Implicit Differentiation - Use a and b again like we did with complex functions and the product rule…

  30. Implicit Differentiation - Use a and b again like we did with complex functions and the product rule…

  31. Implicit Differentiation - Use a and b again like we did with complex functions and the product rule…

  32. Implicit Differentiation - Use a and b again like we did with complex functions and the product rule…

  33. Implicit Differentiation - Use a and b again like we did with complex functions and the product rule…

  34. Implicit Differentiation - Use a and b again like we did with complex functions and the product rule…

  35. Implicit Differentiation - Use a and b again like we did with complex functions and the product rule…

  36. Implicit Differentiation - Use a and b again like we did with complex functions and the product rule…

  37. Implicit Differentiation - Use a and b again like we did with complex functions and the product rule…

  38. Implicit Differentiation - Use a and b again like we did with complex functions and the product rule… - When you can, you should simplify as far as possible…

  39. Implicit Differentiation

  40. Implicit Differentiation

  41. Implicit Differentiation

  42. Implicit Differentiation

  43. Implicit Differentiation

  44. Implicit Differentiation

  45. Implicit Differentiation

  46. Implicit Differentiation

  47. Implicit Differentiation

  48. Implicit Differentiation

  49. Implicit Differentiation - again, you should simplify as far as possible…

  50. Implicit Differentiation Now substitute your ( - 5 , 17 ) into your derivative to find the slope of the tangent line…

More Related