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The function f(x)=1-x^(3)...

The function `f(x)=1-x^(3)`

A

increases everywhere

B

decreases in `(0,oo)`

C

increases in `(0,oo)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Given `f(x)=1-x^(3)`
`impliesf'(x)=-3x^(2)lt0, AA x epsilonR`
So, `f(x)` is decreases in `(-oo, oo)`.
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-APPLICATIONS OF DERIVATIVES-MHT CET CORNER
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