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Transcript of Complex Functions These derivatives involve embedded composite, product, and quotient rules. The...
![Page 1: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/1.jpg)
Complex Functions
These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule
![Page 2: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/2.jpg)
Complex Functions
These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule
![Page 3: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/3.jpg)
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 :
![Page 4: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/4.jpg)
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 :
![Page 5: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/5.jpg)
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 :
![Page 6: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/6.jpg)
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 :
![Page 7: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/7.jpg)
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
![Page 8: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/8.jpg)
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
![Page 9: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/9.jpg)
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
![Page 10: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/10.jpg)
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
![Page 11: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/11.jpg)
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 :
![Page 12: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/12.jpg)
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 :
![Page 13: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/13.jpg)
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 !!!
![Page 14: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/14.jpg)
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 :
![Page 15: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/15.jpg)
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 :
![Page 16: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/16.jpg)
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 :
![Page 17: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/17.jpg)
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 :
![Page 18: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/18.jpg)
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 :
![Page 19: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/19.jpg)
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 :
![Page 20: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/20.jpg)
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 :
![Page 21: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/21.jpg)
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 :
![Page 22: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/22.jpg)
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 :
![Page 23: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/23.jpg)
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
![Page 24: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/24.jpg)
Complex Functions
These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule
![Page 25: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/25.jpg)
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 :
![Page 26: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/26.jpg)
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 :
![Page 27: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/27.jpg)
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 :
![Page 28: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/28.jpg)
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 :
![Page 29: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/29.jpg)
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 :
![Page 30: Complex Functions These derivatives involve embedded composite, product, and quotient rules. The functions f or g must be derived using another rule.](https://reader035.fdocuments.net/reader035/viewer/2022062620/5519d2d4550346695e8b4d49/html5/thumbnails/30.jpg)
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 :