# How to find the point on the curve nearest to A(3,0)?

• March 26th 2009, 05:16 PM
AlphaRock
How to find the point on the curve nearest to A(3,0)?
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• March 26th 2009, 05:22 PM
skeeter
Quote:

Originally Posted by AlphaRock
Given: f(x) = -(x^2).

Find the point on the curve that is nearest to A(3,0).

Can somebody show me how we do this?

point on the curve ... $(x,-x^2)$

distance formula ...

$D = \sqrt{(x-3)^2 + (-x^2 - 0)^2}$

$D = \sqrt{x^4 + x^2 - 6x + 9}$

if $x^4 + x^2 - 6x + 9$ is minimized, then so is D.
• March 26th 2009, 05:57 PM
AlphaRock
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