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Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.

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Presentation on theme: "Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule."— Presentation transcript:

1 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule

2 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule

3 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule OK, start with your product rule :

4 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule OK, start with your product rule :

5 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule OK, start with your product rule :

6 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule OK, start with your product rule :

7 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule OK, start with your product rule : I like to use a and b as my two functions

8 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule OK, start with your product rule : I like to use a and b as my two functions

9 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule OK, start with your product rule : I like to use a and b as my two functions

10 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule OK, start with your product rule : I like to use a and b as my two functions

11 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule OK, start with your product rule : Product Rule :

12 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule OK, start with your product rule : Plugging everything into the product rule now gives :

13 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule OK, start with your product rule : Plugging everything into the product rule now gives : SIMPLIFY !!!

14 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule - start with the quotient rule :

15 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule - start with the quotient rule :

16 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule - start with the quotient rule :

17 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule - start with the quotient rule :

18 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule - start with the quotient rule :

19 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule - start with the quotient rule :

20 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule - start with the quotient rule :

21 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule - start with the quotient rule :

22 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule - start with the quotient rule :

23 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule - start with the quotient rule : Plugging everything into the quotient rule now gives : ** you can stop here, this is your answer

24 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule

25 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule - start with the chain rule :

26 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule - start with the chain rule :

27 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule - start with the chain rule :

28 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule - start with the chain rule :

29 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule - start with the chain rule :

30 Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule - start with the chain rule : Plugging everything into the chain rule now gives :


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