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 transcript:

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

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

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 :

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 :

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 :

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 :

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

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

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

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

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 :

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 :

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 !!!

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 :

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 :

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 :

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 :

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 :

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 :

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 :

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 :

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 :

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

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

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 :

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 :

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 :

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 :

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 :

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 :