# The maximum value

Let ………(i)

Taking logarithm on both sides we get  Now applying first derivative, we get Now applying the product rule of differentiation we get Now applying the derivative we get      Substituting the value of y from equation (i), we get Now we will find the critical point by equating equation (i) to 0, we get  as cannot be equal to 0 But 1=log e1 Equating the terms we get  Hence f(x) has a stationary point at .

i.e the maximum value of So the correct option is option C.

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