\( D \subseteq \mathbb{R}^d \) is convex. If \( x_0 \) is a local minimizer of \( f \) over \( D \), then:</p>
            <ul class="options">
                <li><label><input type="radio" name="q3" value="0"> a) \( x_0 \) may not be a global minimizer of \( f \) over \( D \)</label></li>
                <li><label><input type="radio" name="q3" value="1"> b) \( x_0 \) is always a global minimizer of \( f \) over \( D \)</label></li>
                <li><label><input type="radio" name="q3" value="2"> c) \(