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Question: Let f(x) = Max. {x +1, \|x\| +1}. Then f(x) is non differentiable at...

Let f(x) = Max. {x +1, |x| +1}. Then f(x) is non differentiable at

A

0.5

B

1.0

C

0

D

2.0

Answer

0

Explanation

Solution

f(x) = Max. {x + 1, |x| +1}

= |x| + 1 " x Î R

which is non differentiable

at x = 0