Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Let f(x) = 2x – tan − − 1 x − − ln(x+ 
) ∀ ∀ x ∈ ∈ R. Then
Text Solution
Verified by ExpertsThe correct answer is:
C
f'(x) = 
⇒ ⇒ f '(x) = 
clearly f"(x) < 0 ∀ ∀ x ∈ ∈ R − − and f ''(x) > 0 ∀ ∀ x > 0.
f '(0) = 0 ⇒ ⇒ f '(x) ∀ ∀ x > 0 and f '(x) > 0 ∀ ∀ x < 0.
Thus f(x) is increasing for ∀ ∀ x ∈ ∈ R .
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