Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Let
ƒ(x) = 
then
number of points (where ƒ(x) attains its minimum value) is -
Text Solution
Verified by ExpertsThe correct answer is:
A
ƒ(x) = 
Let g(x) = x 3 + x 2 + 3x + sin x
∴ g ′ (x) = 3x 2 + 2x + 3 + cos x
= 3 
+ cos x
= 3 
+ cos x > 0
and 2 < 3 + sin 
< 4
Hence minimum value of ƒ(x) is 0 at x = 0
Hence number of points = 1.
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