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The interval of increase of the function...

The interval of increase of the function `f (x) = x - e^x + tan ((2pi)/7)` is

A

`(0,oo)`

B

`(-oo,0)`

C

`(1,oo)`

D

`(-oo,-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
Given `f(x)=x-e^(x)+tan((2pi)/7)`
`impliesf'(x)=1-e^(x)`
For `f(x)` to be increasing we must have
`f'(x)gt0implies1-e^(x)gt0`
`impliese^(x)lt1`
`impliesxlt0impliesx epsilon(-oo,0)`
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