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Question

Number of point(s) where the function f(x)=max(2xx2, 2x) is non-differentiable, is/are

A
0.0
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B
1
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C
2
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D
3
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Solution

The correct option is C 2
f(x) is a continuous function but has a sharp turn at x=1 and also not differentiable because of an undefined derivative at x=2.
Therefore f(x) is not differentiable at x=1,2.

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