Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let ƒ : [2, 7] → [0, ∞ ) be a continuous and differentiable function. Then
(ƒ (7) – ƒ (2)) 
where c ∈ [2, 7]
Text Solution
Verified by ExpertsThe correct answer is:
A
Let g(x) = ƒ 3 (x)
⇒ g ′ (x) = 3ƒ 2 (x) . ƒ ′ (x)
ƒ : [2, 7] → [0, ∞ ) ⇒ g : [2, 7] → [0, ∞ )
Using Lagrage’s Mean Value theorem on g(x) we get
g ′ = 
; c ∈ [2, 7]
⇒ 5 ƒ 2 ƒ ′ = (ƒ(7) – ƒ(2))
.
Hence is the correct answer.
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