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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 gt 1`

B

`k gt -1`

C

`k lt 1`

D

`klt -1`

Text Solution

Verified by Experts

The correct Answer is:
A
Since `f(x)=kx-sin x` is monotonically increasing for all `x in R`. Therefore,
`f'(x)gt 0"for all "x in R`
`therefore f'(0)gt 0`
`Rightarrow k-cos 0 gt 0`
`Rightarrow k gt1`
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