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CGP EDU Academic Team
Published on: August 14, 2026
If f 1 (x) = 2x, f 2 (x) = 3 sinx − − x cosx then for x ∈ ∈ 
Text Solution
Verified by ExpertsThe correct answer is:
B
Let f(x) = f 1 (x) − − f 2 (x) = 2x − − 3sinx + x cosx
⇒ ⇒ f '(x) = 2 − − 2cosx − − x sinx
⇒ ⇒ f"(x) = sinx − − x cosx = cosx (tanx - x)
⇒ ⇒ f"(x)>0 ∀ ∀ x ∈ ∈ (0, π π /2).
Thus f;(x) is increasing in (0, π π /2). f'(0) = 0
⇒ ⇒ f(x) > 0 ∀ ∀ x ∈ ∈ (0, π π /2).
Thus f(x) is increasing in (0, π π /2). f(0) = 0
⇒ ⇒ f(x) > 0 ∀ ∀ x ∈ ∈ (0, π π /2)
⇒ ⇒ f 1 (x) > f 2 (x).
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