Q.

The function f(x) = tanx–x

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a

never increases

b

always increasing

c

always decreasing

d

sometimes increases and some times decreases

answer is A.

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Detailed Solution

fx=Tanx-x fIx=sec2x-1=Tan2x fIx=Tan2x>0 for xR

fx is increasing

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The function f(x) = tanx–x