Find the points on the graph of that is closest to the point .

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- Jan 28th 2010, 09:52 AMshawlioptimization - distance between points on a graph
Find the points on the graph of that is closest to the point .

- Jan 28th 2010, 10:17 AMdrumist
In general, the distance between two points is

Use:

<-- this is a point on the curve

Then we have the distance between a point on the curve and the point :

Our goal is to find the minimum value of this, so we find the derivative and set it equal to 0 and solve for x.

Can you take it from here? - Jan 28th 2010, 10:28 AMshawli
Yes, thank you!

One question though, in the general formula for the distance between two lines, does it matter which function i assign to be and ? - Jan 28th 2010, 10:34 AMdrumist