SOLUTION: Find the area of the largest rectangle that has two sides on the positive x-axis and the positive y-axis one vertex at the origin and one vertex on the curve y = e^(-x) Please

Question 999606: Find the area of the largest rectangle that has two sides on the positive x-axis and the positive y-axis one vertex at the origin and one vertex on the curve y = e^(-x)
Please explain
Thank you
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The area of the rectangle would then be,

To find the maximum area, differentiate the area with respect to x.

Set the derivative equal to zero.

So the solution is,

So the maximum area of the rectangle is,

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