The number of values of x [0,2] at which the real function f(x)= |x- 12 |+|x-1|+ x is not finitely differentiable is

JEE Advanced Mathematics question

The number of values of at which the real function is not finitely differentiable is

Answer: (B)

Remember: is continuous everywhere and differentiable everywhere except at ; is differentiable except at odd multiples of .

- : has a corner, the other two terms are differentiable → not differentiable. -

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Question ID VK-109322