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Which of the following functions are continuous for all x but not differentia...

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Which of the following functions are continuous for all x but not differentiable for all x?

$f(x) = \sqrt[3]{x}$ f(x) = \sqrt[3]{x}

$k(x)=\left\{\begin{array}{ll}x+1&\text{ for }x < 1\\3-x&\text{ for }x \geq 1\end{array}\right.$ k(x)=\left\{\begin{array}{ll}x+1&\text{ for }x < 1\\3-x&\text{ for }x \geq 1\end{array}\right.

$h(x) = \dfrac{1}{x^2+4}$ h(x) = \dfrac{1}{x^2+4}

$g(x) = x\sin(x)$ g(x) = x\sin(x)

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