The function f ( x ) = max (1 – x ), (1 + x ), 2 , x ∈(–∞ , ∞), is
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
The function f (x) = max {(1 – x), (1 + x), 2}, x ∈(–∞ , ∞),
is
is
- continuous at all points
- differentiable at all points
- differentiable at all points except at x = 1 and
x = –1 - continuous at all points except at x = 1 and
x = –1, where it is discontinuous
Answer
(C) differentiable at all points except at x = 1 and x = –1
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