Let K be the set of all real values of x, then function f(x)= |x|-|x|+2(x- ) |x| is not differentiable. Then the set K is

MHT CET 2024 Mathematics question

Let K be the set of all real values of x, then function is not differentiable. Then the set K is

(A)
(B)an empty setCorrect
(C)
(D)

Answer: (B)

Solution

Since , the term is differentiable everywhere. For : for , ; for , . Hence for and for , and both tend to as ( and the one-sided derivatives at 0 are and ).

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Question ID VK-092824