(4). (10 points) Let f : (-1, 1) → R be a bounded function, ie, there is a M ＞ 0 such that |f(x)|≤ M for all x (-1, 1). Defne g(x)=xf(x) . Isg differentiable at 0? Give your reasons.
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(-1, 1). Defne g(x)=xf(x) . Isg differentiable at 0? Give your reasons.