Maxima and MinimaHardBloom L3

Question

A rectangle has one side on the positive y-axis and one side on the positive x-axis. The upper right hand vertex on the curve y =. The maximum area of the rectangle is -

Options

A.e-1
B.e-1/2
C.1
D.e1/2

Solution

      
A =
A″ =
A″ < 0 at x = e ⇒ maxima
Amax x = e =

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