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Math Help - Maximum area of rectangle

  1. #1
    Junior Member
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    Maximum area of rectangle

    find the maximum are of rectangle if his points are O(0,0) A (x,0) C(0,y) and B is in the graph of function e^{-x}

    i tried this way:
     S= x * y = x * e^{-x}
    then i found the first derivative, then found the point witch the function has extremal (x=1) then i found the second derivative and plugged the extreme point x=1 into the function witch was now <0
    now the maximum area is S=1*e^(-1)
    am i right ? if it isn't how should i solve this ?
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  2. #2
    Super Member
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    You are right.
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