Published by:
CGP EDU Academic Team
Published on: August 14, 2026
For all x in [1, 2]
Let f"(x) of a non-constant function f(x) exist and satisfy |f ′′ (x)| ≤ 2. If f(1) = f(2), then
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a,c,d)
|f ′′ | ≤ 2
⇒ |f ′ (x) – f ′ | ≤ 2|x – a| ⇒ |f ′ (x) – f ′ | < 2
a is that point on the interval when
f ′ = 
= 0 as f(1) = f(2)
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