Differentiate the standard ellipse formula

Tonyaimer

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Apr 28, 2024
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I want to dfiferentiate the standard ellipse formula x2/a2 +y2/b2=1

I get dy/dx = -xb3/a.root(a2-x2b4)-1/2

My problem is I have a point x1,y1 plus the slope at that point

I have a second point x2,y2 and the slope there is 0 and thus is on the same axis as b

I do not know the focii, a or b. Is this possible to solve?
 
I want to dfiferentiate the standard ellipse formula x2/a2 +y2/b2=1

I get dy/dx = -xb3/a.root(a2-x2b4)-1/2

My problem is I have a point x1,y1 plus the slope at that point

I have a second point x2,y2 and the slope there is 0 and thus is on the same axis as b

I do not know the focii, a or b. Is this possible to solve?
Please show us the actual wording of the problem you are trying to solve.

Also, use clearer notation; I think what you wrote is x^2/a^2 +y^2/b^2=1, and dy/dx = -xb^3/a.sqrt(a^2-x^2b^4)^{-1/2}.
 
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