※ 引述《tiaochieh (整人界第一把交椅)》之銘言：
: What is the area of the largest rectangle in the first quadrant with
: two sides on the axes and one vertex on the curve y=e^-x ?
let A(x) = x˙e^-x
choose A'(x) = 0 we have e^-x - xe^-x = 0
=> (e^-x)( 1 - x ) = 0
so we have the largest area 1/e at point ( 1 , 1/e )
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