Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If x = –1 and x = 2 are extreme points of f(x) = α log|x| + β x 2 + x then :
A
α = 2, β = 
B
α = 2, β = 
C
α = –6, β = 
D
α = –6, β = – 
Text Solution
Verified by ExpertsThe correct answer is:
A
f(x) = α 
. f ‘(x) = 
.
= 
Since x = –1, 2 are extreme points ⇒ f ‘(x) = 0 at these points.
x = –1, 2 ⇒ f ‘(x) = 0
Hence 2 β – 1 + α = 0
8 β + 2 + α = 0
– 6 β – 3 = 0 ⇒ β = – 
& α = 2.
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