Examine the differentiability of $f$,where $f$ is defined by $f(x)=\left \{\begin{array}{1 1}x^2\sin\large\frac{1}{x}, & if\;x\neq 0\\0, & if\;x=0\end{array}\right.$at $x=0$

Question

$\begin{array}{1 1} \text{Differentiable at x=0} \\\text{ Differentiable at x neq 0} \end{array} $