The function f(x) = x^(3) - 3x is …….....

The function `f(x) = x^(3) - 3x` is ……..

A

Increasing in ` (-oo, -1) cup(1, oo)` and decreasing in `(-1,1)`

B

Decreasing in ` (-oo, -1) cup(1, oo)` and increasing in `(-1,1)`

C

Increasing in `(0, oo)` and decreasing in `(-oo, 0)`

D

Decreasing in `(0, oo)` and increasing in ` (-oo, 0)`

Verified by Experts

The correct Answer is:

A

`f(x)= x^(3)-3x`
`f.(x) =3x^(2)-3`
`=3(x^(2)-1)`
`f.(x) =3(x+1) (x-1)`
For increasing function
`f.(x) gt 0`
`x in (-oo, -1) cup (1, oo)`

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