Question

Find the set of critical points of the function  

              

Solution

Correct option is

 

Here,          

                            

  

  

  

But log x is defined for x > 0

  

  

SIMILAR QUESTIONS

Q1

If the function y = sin (f (x)) is monotonic for all values of x (where (x) is continuous), then the maximum value of the difference between the maximum and the minimum value of (x), is: 

Q2

 where 0 <x < π then the interval in which g(x) is decreasing is:   

Q3

Find the critical points for f (x) = (x – 2)2/3 (2x + 1).

Q4

 

Find all the values of a for which the function possess critical points.

 

Q5

 

Using calculus, find the order relation between x and tan-1x when x Ïµ [0, ∞). 

Q6

Using calculus, find the order relation between x and tan-1x when  

Q7

The set of all values of ‘b’ for which the function (x) = (b2 – 3b + 2) (cos2x – sin2x) + (b – 1) x + sin 2 does not possesses stationary points is:

Q8

 

Find the local maximum and local minimum of (x) = x3 + 3x in [–2, 4].

Q9

The function  has a local maximum at x =

Q10

Let (x) = sin x – x on [0, π/2], find local maximum and local minimum.