3. \( (8\%) \) Show that the function \( f(x) = x^{2} - x + 1 \) is differentiable for \( x \in \mathbb{R} \).
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3. \( (8\%) \) Show that the function \( f(x) = x^{2} - x + 1 \) is differentiable for \( x \in \mathbb{R} \).