Find the values of x such that f(x)=x^(3...

Find the values of x such that `f(x)=x^(3)+12x^(2)+36x+6` is an increasing function.

A

`x in (-oo, -6)" or "x in (2,oo)`

B

`x in (-oo, -6)" or "x in (-2,oo)`

C

`x in (-oo,6)" or "x in (-2,oo)`

D

`x in (-oo, 6)" or "x in (2,oo)`

Verified by Experts

The correct Answer is:

B

APPLICATION OF DEFINITEINTEGRAL
NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS:(MCQ)|27 Videos
BINOMIAL DISTRIBUTION
NIKITA PUBLICATION|Exercise MCQS|77 Videos

Similar Questions

Explore conceptually related problems

Find the values of x such that f(x)=2x^(3)-9x^(2)+12x+2 is a decreasing function.

Find the values of x , such that f(x) = 2x^(3) - 15x^(2) + 36x +1 is (i) increasing function (ii) decreasing function

Find the values of x, for which the function f(x)=x^(3)+12x^(2)+36x+6 is increasing.

f(x)=x^(3)-9x^(2)+36x+2 is increasing in

Find the intervals in which the function f(x)=x^(3)-12x^(2)+36x+117 is increasing

Find the intervals in which the function f(x)=x^(3)-12x^(2)+36x+17 is (a) increasing,(b) decreasing.

Find the intervals on which the function f(x) = 2x^(3) - 15x^(2) + 36x + 6 is (a) increasing (b) decreasing.

The set of values of x for which f(x)=3x^(4)-8x^(3)-6x^(2)+24x-12 is an increasing function is

Find the values of x for which the function f(x)= x^(3)-6x^(2)-36x+ 7 is strictly increasing.

Find the values of x, for which the function f(x)= x^(3) + 6x^(2) - 36x+ 6 is monotonically decreasing.