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The function f(x)= tan x - x...

The function `f(x)= tan x - x`

A

always increases

B

always decreases

C

never increases

D

sometimes increases and sometimes decreases

Text Solution

Verified by Experts

The correct Answer is:
A
We have, f(x) =tanx-x
`therefore f^(')(x)=sec^(2)x-1`
`rArr f^(')(x) gt0, (AA)x`
So, f(x) always increases.
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