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Find all points on the curve x^2 * y^2 + xy = 2 where the slope of the tangent line is 1.
 2 years ago
 2 years ago
Find all points on the curve x^2 * y^2 + xy = 2 where the slope of the tangent line is 1.
 2 years ago
 2 years ago

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calyneBest ResponseYou've already chosen the best response.0
I got the derivative already: y' = (2xy^2  y)/(2x^2 * y + x) ...=1 so how do I solve for those points?
 2 years ago

calyneBest ResponseYou've already chosen the best response.0
right coulda guessed that much and
 2 years ago

inkyvoydBest ResponseYou've already chosen the best response.0
I think you substitute 1 for all values of y.
 2 years ago

inkyvoydBest ResponseYou've already chosen the best response.0
Then you solve. I think. Check your answers afterwards to see it I was right.
 2 years ago

inkyvoydBest ResponseYou've already chosen the best response.0
for all values of y', we should have 1
 2 years ago

inkyvoydBest ResponseYou've already chosen the best response.0
wait, I figured it out for a circle.
 2 years ago

inkyvoydBest ResponseYou've already chosen the best response.0
x^2+y^2=sqrt(2) 2x+2yy'=0 y'=1 because the slope=1 2x2y=0 x=y so we have to equations x=y x^2+y^2=sqrt2
 2 years ago
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