the set of all the points where the function f(x)=x|x| is twice differentiable is

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Arun · Answer

f(x) = x|x| = x², x>0 = -x², x f'(x) = 2x, x>0 = -2x, x f''(x) = 2, x>0 = -2, x f''(x) exists at every point except x=0 Thus f(x) is twice differentiable on R - {0}

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the set of all the points where the function f(x)=x|x| is twice differentiable is

the set of all the points where the function f(x)=x|x|
is twice differentiable is

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