Application of DerivativeHard

Question

The largest area of a rectangle which has one side on the x-axis and the two vertices on the curve y = e-x2  is

Options

A.√2 e-1/2
B.2 e-1/2
C.e-1/2
D.none

Solution


Let A be area
A = (2x) (e-x2), x > 0

At x = , A  is maximum.
Largest area is 2 e-1/2

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