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A Non-Reintersecting Tangent (Posted on 2016-02-24) |
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Most tangent lines to the curve y=1/(x^2+1) reintersect the curve at another point. Three of these tangent lines do not. One of them is the trivial line y=1. Find the other two.
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Submitted by Brian Smith
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Rating: 3.0000 (1 votes)
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Solution:
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The tangents are the two lines tangent at the curve's two inflection points. Charlie derives them here. |
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Author |
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![Solution Solution](/images/perplexus/icons/solution.gif) | solution | Charlie | 2016-02-24 15:09:22 |
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