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CGP EDU Academic Team
Published on: August 13, 2026
If f(x) is differentiable in [a, b] such that f(a) = 2, f(b) = 6, then there exists at least one c, a < c < b such that (b 3 – a 3 ) f '
Text Solution
Verified by ExpertsThe correct answer is:
D
Let φ (x) = f(x) + Ax 3 and choose A such that φ = φ ⇒ A = 
since φ (x) satisfies condition of Rolle's theorem
φ ' = 0 for some c ∈ (a, b)
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