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 ) = x e x 2 + e − x 2 and h ( x ) = x 2 e x 2 + e − x 2 . If a , b and c denote respecti

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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 ) = x e x 2 + e − x 2 and h ( x ) = x 2 e x 2 + e − x 2 . If a , b and c denote respectively, the absolute maximum of f , g and h on [ 0 , 1 ] , then

TestHub · Accepted Answer

Given function, ​ f ( x ) = e x 2 + e − x 2 , g ( x ) = x e x 2 + e − x 2 and h ( x ) = x 2 e x 2 + e − x 2 are strictly ​ increasing on [ 0 , 1 ] . Hence, at x = 1 , the given function attains absolute maximum all equal to e + e 1 ​ . ⇒ a = b = c

Mathematics - Application of Derivative Question with Solution | TestHub

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