Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If f(x) = a n |x| + bx 2 + x has its extremum values at x = – 1 and x = 2, then
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a,b)
f ′ (x) = 
+ 2bx + 1
f ′ (– 1) = 0
– a – 2b + 1 = 0
a + 2b = 1
f ′ (2) = 0
+ 4b + 1 = 0 ⇒ a + 8b + 2 = 0
– 6b = 3 ⇒ b = 
, a = 2
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