If \[f(x)=\sqrt[3]{\frac{{{x}^{4}}}{\left| x \right|}},x\ne 0\] and f(0) = 0 is:

Continuous and differentiable for all \[x\ne 0\]

Continuous for all x but not differentiable for any x

Continuous and differentiable for all x

Continuous for all x and differentiable for all \[x\ne 0\]

If \[f(x)=\sqrt[3]{\frac{{{x}^{4}}}{\left| x \right|}},x\ne 0\] and f(

1.	If \[f(x)=\sqrt[3]{\frac{{{x}^{4}}}{\left\| x \right\|}},x\ne 0\] and f(0) = 0 is:
A.	Continuous for all x but not differentiable for any x
B.	Continuous and differentiable for all x
C.	Continuous for all x and differentiable for all \[x\ne 0\]
D.	Continuous and differentiable for all \[x\ne 0\]
Answer» D. Continuous and differentiable for all \[x\ne 0\]

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If \[f(x)=\sqrt[3]{\frac{{{x}^{4}}}{\left| x \right|}},x\ne 0\] and f(0) = 0 is:

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