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Let f(x) = max. {|x^2 - 2 |x||,|x|} and ...

Let f(x) = max. {|x^2 - 2 |x||,|x|} and g(x) = min. {|x^2 - 2|x||, |x|} then

A

Both f (x) and g(x) are non-differentiable at 5 points

B

f (x) is not differentiable at 5 points and g(x) is not differentiable at 7 points

C

Number of points of non-differentiability for f (x) and g(x) are 7 and 5 respectively

D

Both f (x) and g(x) are non-differentiable at 3 and 5 points respectively

Text Solution

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The correct Answer is:
B
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