Question

, for every real number, then minimum value of f

Solution

Correct option is

is equal to – 1

f (x) will be minimum if 2/(x2 + 1) is maximum i.e. if x2 + 1 is least i.e. whenx = 0. Thus, minimum value of f (x) is f (0) = –1.    

 

SIMILAR QUESTIONS

Q1

 the in this interval

Q2

The set of all values of a for which the function

                   

decreases for all real x is

Q3
Q4

The length of a longest interval in which the function 3 sin x – 4Sin3x is increasing is

Q6

The equation e 1 + x – 2 = 0 as 

Q7

The function f satisfying 

Q8

Suppose f is differentiable on R and a ≤ f’(x) ≤ b for all x ∈ R where ab> 0. If f (0) = 0, then

Q9

The minimum value of (x) = 

Q10

The image of the interval [–1, 3] under the maping f(x) = 4x3 – 12x is.