Question

 

Find the interval of increase or decrease of the 

                 

Solution

Correct option is

Increasing  Decreasing 

Differentiating both sides we have 

                  [Using Leibnitz-rule]                                                                     

  

Using number line rule as shown in figure,

   

Hence (x) is increasing, when  and (x) is decreasing, when 

SIMILAR QUESTIONS

Q3

 

 a minimum at x= 1 is the value of a is    

 

Q4

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 

Q6

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

Q7

The minimum value of 

Q8

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

Q9

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

Q10

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