Let f, g and h be real-valued functions defined on the interval [0, 1] by f(x) = e^x^2 + e^-x^2, g(x) = xe^x^2 + e^-x^2 and h(x) = x^2e^x^2 + e^-x^2. If a, b and c denote respectively, the absolute maximum of f, g and h on [0, 1], then

Let f, g and h be real-valued functions defined on the… — JEE Main 2010 Mathematics PYQ

AIEEE 2010

Let

f

g

and

h

be real-valued functions defined on the interval

[0, 1]

f(x) = e^{x^2} + e^{-x^2}

g(x) = xe^{x^2} + e^{-x^2}

and

h(x) = x^2e^{x^2} + e^{-x^2}

. If

a

b

and

c

denote respectively, the absolute maximum of

f

g

and

h

[0, 1]

, then

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Correct option: D

[AIEEE 2010]

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