Calculus question about optimizations?
2016-11-30 11:36 am
Find the point on the graph of the function that is closest to the given point. f(x) = (x-1)^2, (-5, 3)
回答 (2)
2016-12-01 1:00 am
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2016-11-30 12:34 pm
So you need to minimize the distance D(x) from (x, (x-1)^2) to (-5,3). Plug those into the distance formula, take the derivative, set equal to 0.
A trick. D(x) involves a square root which gives a messy derivative. It's easier to minimize D^2, which will be minimized when D is minimized but doesn't have the square root.
A trick. D(x) involves a square root which gives a messy derivative. It's easier to minimize D^2, which will be minimized when D is minimized but doesn't have the square root.
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