Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If f(x) is a polynomial of degree 6, which satisfies 
= e 2 and has local maximum at x = 1 and local minimum at x = 0 and x = 2, then the value of 
is
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
f(x) = a 0 + a 1 x + a 2 x 2 + a 3 x 3 + a 4 x 4 + a 5 x 5 + a 6 x 6
⇒ a 0 = a 1 = a 2 = a 3 = 0
= e 2 ⇒ a 4 = 2
f(x) = 2x 4 + a 5 x 5 + a 6 x 6
f ′ (x) = x 3 ( 8 + 5a 5 x + 6a 6 x 2 )
f ′ (1) = 0, f ′ (2) = 0
, 
f(x) = 2x 4 
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