Differentiability of min function (Jee Mains) | ExamDuo
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Continuity and Differentiability
Medium
Differentiability of min function
Let f : R → R be a function defined by :
f (x) = Min . {x + 1 , | x | + 1} .
Then which of the following is true ?
SELECT ONE OPTION
A
f (x) is not differentiable at x = 1
B
f (x) is differentiable everywhere
C
f(x) is not differentiable at x = 1
D
f(x) ≥ 1 for all x ϵ R .
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