document.write( "Question 1155624: Determine the location and value of the absolute extreme values of f on the given
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Algebra.Com's Answer #778254 by Edwin McCravy(20056)\"\" \"About 
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Determine the location and value of the absolute extreme values of f on the given
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document.write( "\"f%28x%29=12x%5E%282%2F3%29+-x\" on [0,1728] \r\n" );
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document.write( "To find potential extrema set f'(x) = 0 \r\n" );
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document.write( "2nd derivative test for max or min\r\n" );
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document.write( "\"matrix%282%2C1%2C%22%22%2C%22f%27%28x%29%22=8x%5E%28-1%2F3%29-1%29\"\r\n" );
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document.write( "That's negative so relative maximum at x=512.\r\n" );
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document.write( "We find the value there.\r\n" );
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document.write( "\"f%28512%29=12%2A512%5E%282%2F3%29+-512=256\"\r\n" );
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document.write( "So relative maximum is (512,256)\r\n" );
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document.write( "We must examine to see if endpoints of interval are higher points.\r\n" );
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document.write( "\"f%280%29=12%2A0%5E%282%2F3%29+-0=0\"\r\n" );
document.write( "\"f%281728%29=12%2A1728%5E%282%2F3%29+-1728=0\"\r\n" );
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document.write( "Thus absolute maximum at (512,256), absolute minima at (0,0) and (1728,0)\r\n" );
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document.write( "Edwin
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