Question

Solution

Correct option is

                     

                   

Using number line rule for f’(x) we get,

                                                         

As shown in fig.

              

SIMILAR QUESTIONS

Q1

Assuming that be petrol burnt in a motor boat varies as the cube of its velocity, the most economical speed when going against a current of ckm/hr is 

Q3

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

Q4

The minimum value of 

Q5

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

Q6

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

Q7

 

Find the interval of increase or decrease of the 

                 

Q8

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

Q9

 Then f decreases in the interval   

Q10

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