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If f(x)= kx-sin x is monotonically incre...

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

A

`k gt1`

B

`kgt-1`

C

`klt1`

D

`klt-1`

Text Solution

Verified by Experts

The correct Answer is:
A
Given `f(x)=kx=-sin x`s is monotonically increasing for all `x epsilonR`.Therefore
`f'(x)gt0`, for all `x epsilonRimpliesk=cos x gt0`
`impliesk gt cos x` [ `:'` maximum value of `cos x` is 1]
`impliesk gt1`
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