Question

If (x) = ax3 + bx2 + cx + d where abcd are real numbers and 3b2 < c2, is an increasing cubic function and g(x) = af’ (x) + bf’’ (x) + c2, then

Solution

Correct option is

  

  

                    

                      

                                          

                                                                                                

                                          

                                          

  

SIMILAR QUESTIONS

Q1

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

Q2

 

Find the interval of increase or decrease of the 

                 

Q3

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

Q4

 Then f decreases in the interval   

Q6

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

Q7

   

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

Q8

If a < 0, and f (x) = eax + e–ax is monotonically decreasing. Find the interval to which x belongs.   

Q10

If f : R  R, (x) is a differentiable bijective function, then which of the following is true?