Given this function,, what is a local minimum value for?

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Given this function,<br><img src='https://www.fatskills.com/images2/GradExams/913CA89F-A545-4580-AF75-8A8D8301999D.png' height='19' width='95'/>, what is a local minimum value for<br><img src='https://www.fatskills.com/images2/GradExams/E302747C-8120-4124-B8CE-22E4DDABA121.png' height='15' width='60'/>?