If , for every real number x , then the minimum value of f

Maths Differentiation and Applications of Derivatives Maxima and Minima Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Does not exist because f is unbounded

Is not attained even though f is bounded

Is equal to 1

Is equal to –1

Text Solution

Verified by Experts

The correct answer is:

and as

Hence has minimum value –1 and also there is no maximum value.

Aliter :

There is only one critical point having minima.

Hence has least value at .

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