Question

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

Solution

Correct option is

Given (x) =2x3 + 3x2 – 12x + 1   

Differentiating both sides, we have 

                   

  

Using number line rule:

Hence          f’(x) ≥ 0  

When          

SIMILAR QUESTIONS

Q1

 then f’(0) is equal to 

Q2

 

  

Local minimum at x = 2, then

 

Q5

 

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

 

Q6

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 

Q8

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

Q9

The minimum value of 

Q10

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