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Find absolute max/min of continuous function on closed interval
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Question: Calculus Question
Find the absolute minimum and absolute maximum values of f on the given interval.f(x) = x − ln 4x, [1/2, 2]Absolute maximum: Absolute minimum:
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Answered By:
Doug C.
Math Tutor with Reputation to make difficult concepts understandable
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Written Explanation:
Here is link to desmos graph referenced in the video. Attach the following to the URL for Desmos:/calculator/f2c9ar4qt3UpdateL video is not processing for some reason, here is some text:f' = 1 - 1/4x (x) = 1 - 1/xThat equals 0 when 1 - 1/x = 0 =› x - 1 = 0 =› x = 1. So the x values to test are 1/2 and 2 (endpoints of the closed interval) and 1 (critical number). Check out Desmos to see the y values of the function at those x values.
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