Answer :

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.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses

If the sum of theMathematics - Board Papers

A metal box with Mathematics - Board Papers

Show that aRD Sharma - Volume 1

Find the local maMathematics - Board Papers

Prove that the seMathematics - Board Papers

Prove that the raMathematics - Board Papers

Prove that the leMathematics - Board Papers