Let f : R → R be a differentiable function and f (1) = 4. Then the value of _ x 1 1 x-1 _…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Let f : R → R be a differentiable function and f (1) = 4. Then the value of \(\lim _{x \rightarrow 1} \frac{1}{x-1} \int_{4}^{f(x)} 2 t d t \text { is }\)
- 8 f '(1)
- 4 f '(1)
- 2 f '(1)
- f '(1)
Answer
(B) 4 f ' (1)
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