JEE Advanced Mathematics question

MathematicsContinuity and DifferentiabilityJEE Advanced

A function is defined as follows:

f(x)=

Answer: (C)

Solution

(No hint in the book.) Check the three junctions.

- : , → discontinuous, hence **not** differentiable. (a) ✗ (a function discontinuous at a point can never be differentiable there). - :

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Question ID VK-109339