we have seen that - highline college · 2018-01-31 · 3.2 – the product and quotient rule...
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![Page 1: We have seen that - Highline College · 2018-01-31 · 3.2 – The Product and Quotient Rule Math& 151 Warnock - Class Notes We have seen that ªºc f x _____ «»¬¼ c and ªºf](https://reader034.vdocument.in/reader034/viewer/2022042217/5ec21220f7918f47dc26b517/html5/thumbnails/1.jpg)
3.2 – The Product and Quotient Rule Math& 151 Warnock - Class Notes
We have seen that _________c f x
and ______________f x g x
.
Let’s investigate f x g x
. Do you think it is __________________?
Examine with f x x and 2g x x .
Let’s use the definition of the derivative to discover it.
Let y f x g x , hint: f x h g x
0
limh
dydx
![Page 2: We have seen that - Highline College · 2018-01-31 · 3.2 – The Product and Quotient Rule Math& 151 Warnock - Class Notes We have seen that ªºc f x _____ «»¬¼ c and ªºf](https://reader034.vdocument.in/reader034/viewer/2022042217/5ec21220f7918f47dc26b517/html5/thumbnails/2.jpg)
#1) Given xf x xe , find f x and n
f x .
#2) Differentiate the function f t t a bt .
![Page 3: We have seen that - Highline College · 2018-01-31 · 3.2 – The Product and Quotient Rule Math& 151 Warnock - Class Notes We have seen that ªºc f x _____ «»¬¼ c and ªºf](https://reader034.vdocument.in/reader034/viewer/2022042217/5ec21220f7918f47dc26b517/html5/thumbnails/3.jpg)
#3) If f x x g x , where 9 ___g and 9 ___g , find 9f .
Let’s use the definition of the derivative to discover the quotient rule.
Let
f xy
g x hint: f x g x
0
limh
dydx
![Page 4: We have seen that - Highline College · 2018-01-31 · 3.2 – The Product and Quotient Rule Math& 151 Warnock - Class Notes We have seen that ªºc f x _____ «»¬¼ c and ªºf](https://reader034.vdocument.in/reader034/viewer/2022042217/5ec21220f7918f47dc26b517/html5/thumbnails/4.jpg)
#4) Let 2
3
2 3
2 3
x xy
x
, find y.
#5) Find an equation of the tangent line to the curve 21
xey
x
at the point 1,
2e
.
Table of Differentiation Formulas
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