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Question

Let f:RR be a function defined by f(x)=min{x+1,|x|+1}. Then which of the following is true?

A
f(x) is differentiable everywhere
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B
f(x) is differentiable at x=0
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C
f(x)1 for all xϵR
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D
f(x) is not differentiable at x=1
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Solution

The correct options are
A f(x) is differentiable everywhere
B f(x) is differentiable at x=0
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