Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let 
Then the set of all values of b, for which f(x) has maximum value at x = 1, is :
A
(-6,-2)
B
(2, 6)
C
[-6, -2) 
(2, 6]
(2, 6]
D
Text Solution
Verified by ExpertsThe correct answer is:
C
f(1) = 3
For x<1, f'(x)=3x 2 -2x + 10>0
f(x) is increasing
For x>1,f'(x)<0
function is decreasing.
f(x)=-2 + log 2 (b 2 -4)
For maximum value at x = 1
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