If the function have the maximum value then

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

Problem

If the function

f(x) = ax e^{bx^2}

have the maximum value

f(2) = 1

then (a)

a = \frac{\sqrt{e}}{2}

and

b = \frac{-1}{8}

(b)

a = \frac{-\sqrt{e}}{2}

and

b = \frac{1}{8}

(c)

a = \frac{1}{8}

and

b = \frac{\sqrt{e}}{2}

(d)

a = \frac{-\sqrt{e}}{2}

and

b = \frac{-1}{8}