The function f defined by f(x) = x^(...

The function f defined by
`f(x) = x^(3) - 6x^(2) - 36 x + 7` is increasing , if

A

`x gt 2` and also `x gt 6`

B

`x gt 2` and also `x lt 6`

C

`x lt -2` and also `x lt 6`

D

`x lt -2` and also `x gt 6`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

The function defined as f(x) = 2x^(3) -6x +3 is

The function f defined by f(x)=(x+2)e^(-x) is

The function f: R to R defined by f(x) = 4x + 7 is

The function f, defined by f(x)=(x^(2))/(2) +In x - 2 cos x increases for x in

A function f defined by f(x)=In(sqrt(x^(2)+1-x)) is

Prove that the function given by f(x)=2x^(3)-6x^(2)+7x is strictly increasing in R.

The function f:[0,3] to [1,29], defined by f(x)=2x^(3)-15x^(2)+36x+1 is

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