document.write( "Question 980385: Find the Absolute maximum and minimum values of f on the given interval. Give exact answers. \r
\n" ); document.write( "\n" ); document.write( "f(x)=ln x/x^2 on [1,3]
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Algebra.Com's Answer #601523 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
find the derivative of f.
\n" ); document.write( "\"df%2Fdx=%28x%5E2%2A%281%2Fx%29-ln%28x%29%2A2x%29%2Fx%5E4\"
\n" ); document.write( "\"df%2Fdx=%28x-2xln%28x%29%29%2Fx%5E4\"
\n" ); document.write( "\"df%2Fdx=%281-2ln%28x%29%29%2Fx%5E3\"
\n" ); document.write( "The absolute maximum in the interval is the absolute maximum and occurs when
\n" ); document.write( "\"1-2ln%28x%29=0\"
\n" ); document.write( "\"1=2ln%28x%29\"
\n" ); document.write( "\"ln%28x%29=1%2F2\"
\n" ); document.write( "\"x=e%5E%281%2F2%29\"
\n" ); document.write( "when
\n" ); document.write( "\"y=ln%28e%5E%281%2F2%29%29%2Fe\"
\n" ); document.write( "\"y=1%2F%282e%29\"
\n" ); document.write( "and the absolute minimum in the interval occurs at \"x=1\"
\n" ); document.write( "when
\n" ); document.write( "\"y=ln%281%29%2F1%5E2\"
\n" ); document.write( "\"y=0\"
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