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Question

If f(x)={min{x,x2},x0min{2x,x21},x<0 then the number of points where f(x) is non-differentiable in [2,2] is

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Solution

f(x)=⎪ ⎪ ⎪ ⎪⎪ ⎪ ⎪ ⎪x,x>1x2,0x1x21,12x<02x,x<12
So f(x) is not differentiable at x=12,0,1.

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