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 2 years ago
Find an equation of the tangent line to the curve at the point.
x^2+xy+y^2=7
(2,1)
please show steps! I need to learn how to do it
 2 years ago
Find an equation of the tangent line to the curve at the point. x^2+xy+y^2=7 (2,1) please show steps! I need to learn how to do it

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ChmE
 2 years ago
Best ResponseYou've already chosen the best response.0Have you been taught derivatives

monroe17
 2 years ago
Best ResponseYou've already chosen the best response.0yes, but tomorrow I have an exam on a bunch of stuf and im sooooooo lost!!! I'm just trying to learn it all because I don't understand my professor at all.

ChmE
 2 years ago
Best ResponseYou've already chosen the best response.0okay lets start with this problem. Every time you take the derivative of a y we need to add y'. Ex) the derivative of 2y^2=6 is 4yy'=0, then you solve for y' We will do the same above. Let's work one term at a time. What is the derivative of x^2?

timo86m
 2 years ago
Best ResponseYou've already chosen the best response.1Do implicit differentiation in this one i suppose. do it for both y and x

monroe17
 2 years ago
Best ResponseYou've already chosen the best response.0thats the prob idk how

timo86m
 2 years ago
Best ResponseYou've already chosen the best response.1\[{\frac {x+2\,y}{2\,x+y}}\]

timo86m
 2 years ago
Best ResponseYou've already chosen the best response.1http://www.khanacademy.org/math/calculus/differentialcalculus/v/implicitdifferentiation this could help

timo86m
 2 years ago
Best ResponseYou've already chosen the best response.1http://www.khanacademy.org/math/calculus/differentialcalculus/v/implicitdifferentiationpart2 part 2 is nice too

timo86m
 2 years ago
Best ResponseYou've already chosen the best response.1well when y is dependant variable (2*x+y)/(x+2*y)

timo86m
 2 years ago
Best ResponseYou've already chosen the best response.1at 2,1 the slope is 5  4

monroe17
 2 years ago
Best ResponseYou've already chosen the best response.0I figure it out. But, now I'm stuck on the next problem

timo86m
 2 years ago
Best ResponseYou've already chosen the best response.1use y=mx+b 1=5/4*2+b sfb

timo86m
 2 years ago
Best ResponseYou've already chosen the best response.1b=7/2 so y=5/4*x+ 7/2 :)

timo86m
 2 years ago
Best ResponseYou've already chosen the best response.1BTW I graphed it and it works fine both the tangent line and the function yyou gave me do you wanna see it?

monroe17
 2 years ago
Best ResponseYou've already chosen the best response.0yeah i already figured it out
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