Discuss the differentiability of \[ f(x)=\left\{\begin{array}{ll} x \sin \left(\ln x^{2}\right),...
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Discuss the differentiability of
\[
f(x)=\left\{\begin{array}{ll}
x \sin \left(\ln x^{2}\right), & x \neq 0 \\
0, & x=0
\end{array} \text { at } x=0\right.
\]
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