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Solution


Q.

The function  f(x)=tanx-x
1 always increases  
2 always decreases  
3 never increases  
4 sometimes increases and sometimes decreases  

Ans.

(1)

Ans.       Always increases

Explanation:

We have,          f(x)=tanx-x

∴                 f'(x)=sec2x-1

⇒                f'(x)≥0, ∀ x∈R

So,   f(x) always increases.