If \( y=f(x) \) is differentiable \( \forall x \in R \), then (a) \( y=|f(x)| \) is differentiab...

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If \( y=f(x) \) is differentiable \( \forall x \in R \), then
(a) \( y=|f(x)| \) is differentiable \( \forall x \in R \)
(b) \( y=f^{2}(x) \) is non-differentiable for atleast one \( x \)
(c) \( y=f(x)|f(x)| \) is non-differentiable for atleast one \( x \)
(d) \( y=|f(x)|^{3} \) is differentiable \( \forall x \in R \)
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