If f(x) is differentiable in the interval [2, 5] where f(2)= 1 5 and f(5)= 1 2 , then…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
If \(f(x)\) is differentiable in the interval [2, 5] where \(f(2)=\frac{1}{5} \text { and } f(5)=\frac{1}{2}\), then there exist a number c, 2 < c < 5 for which \(f^{\prime}(c)\) is equal to :
- \(\frac{1}{2}\)
- \(\frac{1}{5}\)
- \(\frac{1}{10}\)
- None of these
Answer
(C) 1 10
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