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) =...

Question

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

Accepted Answer

(D)

JEE Advanced 2010 Mathematics question

Solution

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