Let \( f: R \rightarrow R \) be differentiable at \( c \in R \) and \( f(c)=0 \). If \( g(x)=|f(...
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0Let \( f: R \rightarrow R \) be differentiable at \( c \in R \) and \( f(c)=0 \). If \( g(x)=|f(x)| \), then at \( x=c, g \) is :
\( \mathrm{P} \)
(1) not differentiable
(2) differentiable if \( \mathrm{f}^{\prime}(c)=0 \)
W)
(3) not differentiable if \( f^{\prime}(c)=0 \)
(4) differentiable if \( f^{\prime}(c) \neq 0 \)
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