Question

Find the interval for which (x) = x – sin x is increasing or decreasing.

Solution

Correct option is

None of these

Given f (x) = x – sin x,

Differentiating both sides w.r.t. x, we have

                                 

  

Which shows f (x) is increasing for the entire number scale i.e., all real number.

SIMILAR QUESTIONS

Q2

Let (x) be a function such that f’(a≠ 0. Then at x = α ; f (x)

Q3

The minimum value of 

Q4

Find the interval in which f (x) = 2x3 + 3x2 – 12x + 1 is increasing.

Q5

Find the interval in which (x) = x3 – 3x2 – 9x + 20 is strictly increasing or strictly decreasing.

Q6

 

Find the interval of increase or decrease of the 

                 

Q7

The function (x) = sin4 x + cos4 x increasing if:

Q8

 Then f decreases in the interval   

Q10

   

Where a is positive constant. Find the interval in which f’ (x) is increasing.