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CGP EDU Academic Team
Published on: August 14, 2026
f is continuous in [a, b] and differentiable in (a, b) (where a > 0 ) such that 
= 
. Prove that there exist x 0 ∈ (a, b) such that f ′ (x 0 ) = 
.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Let g(x) = 
, x ∈ [a, b]
By Rolle’s theorem, g’(x 0 ) = 0
⇒ 
= 0
⇒ f ′ (x 0 ) = 
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