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Let f(x)=x|x|.The set of points, where f(x) is twice differentiable, is......

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+3 votes
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asked Oct 2, 2017 in JEE by Ranjit (3,065 points) ● 10 ● 53

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+2 votes
answered Oct 2, 2017 by anukriti (13,536 points) ● 5 ● 10 ● 41
selected Oct 5, 2017 by sanjeev
 
Best answer

Solution: We have 

⇒f′′(x) exists at every point except at x=0

Thus f(x) is twice differentiable on R−{0}.

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