Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If f(x) = 
[16JM120172]
where 0 < a < b < 2 π , then show that the equation f ′ (x) = 0 has atleast one root in the interval (a, b)
Text Solution
Verified by ExpertsThe correct answer is:
B
f(a) = f(b) = 0
and we know sin 3 x, xe x , 
are continuous and differentiable for x ∈ R therefore f(x) is also continuous and differentiable in [a, b]
hence by Rolle's theorem there exist a real number c ∈ [a, b] such that f ′ = 0.
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