In [0,1] Lagrange's Mean-Value theorem is not applicable to

JEE Advanced Mathematics question

Mathematics Application of Derivatives JEE Advanced

In Lagrange's Mean-Value theorem is not applicable to

(A)Correct
(B)
(C)
(D)

Answer: (A)

Solution

LMVT needs continuity on and differentiability on . - **(a)** At both pieces give , so is continuous. But and . These differ, so is not differentiable at , and LMVT is

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Question ID VK-110106