Let S = t R f(x) = |x- | (e^ |x| - 1 ) |x| is not differentiable at t , then S is

MHT CET 2023 Mathematics question

Let , then S is

Answer: (A)

Write with . The only possible trouble points are (kink of ) and (kink of ). At : since , and is continuous there. Right derivative ;

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Question ID VK-095217