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CGP EDU Academic Team
Published on: August 12, 2026
Verify rolle's theorem for f(x) = x 3 – 6x 2 + 11x – 6, x ∈ [1, 3]
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol. f(x) is a polynomial function
⇒ f(x) is continuous & differentiation both
Now, f (1) = 0
f(3) = 0
⇒ f(x) satisfy all condition of rolle's theorem then
f ' = 0 ⇒ 3c 2 – 12c + 11 = 0
⇒ c = 2 ± 1/ 
∈ (1, 3)
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