Home
Class 12
MATHS
If f(x) = kx^(3) -9x^(2) + 9x +3 is mono...

If `f(x) = kx^(3) -9x^(2) + 9x +3` is monotonically increasing in every interval, then which one of the following is correct?

A

`k lt 3`

B

`k le 3`

C

`k gt 3`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If the function f(x) = x^(2) -kx is monotonically increasing the interval (1, oo) , then which one of the following is correct ?

f(x) = 2x^(2) – log | x | (x != 0) is monotonic increasing in the interval -

If f(x)=kx^(3)-9x^(2)+9x+3 monotonically increasing in R, then k =3 (d) none of these

If f(x)= kx-sin x is monotonically increasing then

If f(x)=x^(3)-9x^(2)+24x, then f

If f(x)=x^(3)-9x^(2)+24x, then f

If f(x)=x^(3)-6x^(2)+9x+3 is a strictly increasing function ,then x lies in :

If f(x) = x^(3) + (a – 1) x^(2) + 2x + 1 is strictly monotonically increasing for every x in R then find the range of values of ‘a’