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CGP EDU Academic Team
Published on: August 12, 2026
Then g(x) is increasing in -
Text Solution
Verified by ExpertsThe correct answer is:
C
f '' (x) > 0 ∀ x ∈ R ⇒ f ' (x) is increasing ∀ x ∈ R
g ' (x) = – f ' (2 – x) + f ' (4 + x)
If g ' (x) > 0, then
f ' (4 + x) > f ' (2 – x)
⇒ 4 + x > 2 – x
2x > – 2
x > – 1 ⇒ (–1, ∞ )
g(x) is increasing in (–1, ∞ )
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