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Let f:R\rightarrow R be a function defined by f(x)=max\; \left \{ x,x^{2} \right \}. Let S denote the set of all points in R, where f is not differentiable. Then set S is:  
Option: 1 \left \{ 0,1 \right \}
Option: 2 \left \{ 0 \right \}
Option: 3 \phi (an empty set)  
Option: 4 \left \{ 1 \right \}

Answers (1)

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Clearly f(x) having sharp edge at x = 0 and x = 1

Hence, f(x) is Non-differentiable at x=0,1

S = {0,1}

Posted by

himanshu.meshram

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