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lili.gallegos
 one year ago
Use implicit differentiation to find an equation of the tangent line to the curve.
x^5y^5=32, tangent at (2,1)
lili.gallegos
 one year ago
Use implicit differentiation to find an equation of the tangent line to the curve. x^5y^5=32, tangent at (2,1)

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freckles
 one year ago
Best ResponseYou've already chosen the best response.2know product rule, power rule, constant rule, and chain rule?

freckles
 one year ago
Best ResponseYou've already chosen the best response.2or if you want to make this really easy take the 5th root of both sides

rvc
 one year ago
Best ResponseYou've already chosen the best response.2if you know all the three rules mentioned by freckles then you can easily solve it :)

rvc
 one year ago
Best ResponseYou've already chosen the best response.2if you take the fifth root the equation would be : xy=2

rvc
 one year ago
Best ResponseYou've already chosen the best response.2slope : \(\Large \frac{dy}{dx}\)

lili.gallegos
 one year ago
Best ResponseYou've already chosen the best response.0Can one of you walk me through this ? Step by step ?

rvc
 one year ago
Best ResponseYou've already chosen the best response.2equation of tangent : \[\rm yy_{1}=\frac{ dy }{ dx }(xx_{1})\]

lili.gallegos
 one year ago
Best ResponseYou've already chosen the best response.0What about the derivative ?

freckles
 one year ago
Best ResponseYou've already chosen the best response.2you need to apply the rules (or at least some) to differentiate xy=2

freckles
 one year ago
Best ResponseYou've already chosen the best response.2xy is a product so you would use the product rule to differentiate xy

freckles
 one year ago
Best ResponseYou've already chosen the best response.22 is a constant the constant rule says derivative of a constant is 0

freckles
 one year ago
Best ResponseYou've already chosen the best response.2(xy)'=0 can you apply the product rule to find (xy)'

rvc
 one year ago
Best ResponseYou've already chosen the best response.2you can go through this : Basic Derivatives http://openstudy.com/study#/updates/5550950fe4b061b8579d7c1d

lili.gallegos
 one year ago
Best ResponseYou've already chosen the best response.0What about the derivative ?

freckles
 one year ago
Best ResponseYou've already chosen the best response.2to differentiate is to find the derivative

freckles
 one year ago
Best ResponseYou've already chosen the best response.2(xy)' means find the derivative of the product of x and y

freckles
 one year ago
Best ResponseYou've already chosen the best response.2do you know how to find the derivative of the product of x and y

freckles
 one year ago
Best ResponseYou've already chosen the best response.2do you know the product rule?

freckles
 one year ago
Best ResponseYou've already chosen the best response.2actually if you don't know the product rule @rvc has posted for you in that link

lili.gallegos
 one year ago
Best ResponseYou've already chosen the best response.0Yes I know the product rule ..

freckles
 one year ago
Best ResponseYou've already chosen the best response.2so apply the product rule to find (xy)'

rvc
 one year ago
Best ResponseYou've already chosen the best response.2yep :) you may have a look at that

rvc
 one year ago
Best ResponseYou've already chosen the best response.2good then go for it apply the product rule

lili.gallegos
 one year ago
Best ResponseYou've already chosen the best response.0Okay thank you !
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