Difference between revisions of "KGS math club/solution 10 1"
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Revision as of 15:00, 11 August 2010
The coefficient of the tangent can be found from implicit derivative formula: where
So we want to find a pair (x, y) such that and , that is, , that is,
We notice by magic that (x, y) = (1, 0) and (x, y) = (-1, 1) are the two solutions to the equation.
Verification: at (-1, 1), the , so the tangent goes from (-1, 1) to (0, 2) at (1, 0), the , so the tangent goes from (1, 0) to (0, 2)
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