The largest area of a rectangle which has one side on the -axis and two vertices on…

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

The largest area of a rectangle which has one side on the

x

-axis and two vertices on the curve

y=e^{-x^2}

is (1)

\sqrt{2}e^{-1/2}

(2)

2e^{-1/2}

(3)

e^{-1/2}

(4) None of these