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# 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.

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## Implicit Differentiation

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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…

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