If \( f(x)=\left[\begin{array}{cc}\cos x^{3} & ; x0 \\ \sin x^{3}-\left|x^{3}-1\right| & ; x \ge...

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If \( f(x)=\left[\begin{array}{cc}\cos x^{3} & ; x0 \\ \sin x^{3}-\left|x^{3}-1\right| & ; x \geq 0\end{array}\right. \) then find the number of points where \( g(x)=f(|x|) \) is non-differentiable.
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