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f:R rarr R,f(x) is differentiable such t...

`f:R rarr R,f(x)` is differentiable such that `f(x)=k(x^(5)+x).(kne0)` Then f(x) is

A

increasing

B

decreasing on `[-1//2,oo]`

C

either increasing or decreasing

D

non monotonic

Text Solution

Verified by Experts

The correct Answer is:
3
`f(f(x))=k(x^(5)+x)or f'(f(x))f'(x)=k(5x^(4)+1)`
Thus f(x) is always increasing or decreasing as `k(5x^(4)+1)` is eitehr always negative or positive .
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