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anonymous
 one year ago
Find the equation of the tangent line to the hyperbola at the given point:
(x^2/a^2)  (y^2/b^2) = 1 (m, n)
and write your answer in the form y=f(x) for some function f(x).
anonymous
 one year ago
Find the equation of the tangent line to the hyperbola at the given point: (x^2/a^2)  (y^2/b^2) = 1 (m, n) and write your answer in the form y=f(x) for some function f(x).

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the point \((m,n)\)?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I used implicit diff. to get y' = (2a^2y)/(2b^2x) but then what's next?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes the point (m, n)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0replace \(x\) by \(m\) and \(y\) my \(n\) for your slope

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so a^2y / b^2x becomes a^2n / b^2m ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0then use the point  slope formula

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So, y = (a^2n / b^2m)(xm) + n ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i actually didn't check your derivative but i assume it is right

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0shouldn't it be \[\frac{b^2x}{a^2y}\]?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I still get the wrong answer with that

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you still need to replace m and n for x and y

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{b^2m}{b^2n}(xm)+n\] try that

freckles
 one year ago
Best ResponseYou've already chosen the best response.0put an a^2 on bottom there instead of that b^2 :p

freckles
 one year ago
Best ResponseYou've already chosen the best response.0yes I know it is time for the old folks to retire

freckles
 one year ago
Best ResponseYou've already chosen the best response.0that includes me of course

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0((b^2m) / (a^2n))(xm) + n thats right

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0:D Thanks so much!! @satellite73 @freckles :D

freckles
 one year ago
Best ResponseYou've already chosen the best response.0I'm just satellite's cheerleader on this one! Go satellite!!!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ahaha XD thats an important role @freckles !!
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