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    • 1.9.19: Applications- Rates of Change, Linear Approximation, Calculating Uncertainty, Maxima and Minima, Optimization
      https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_II_(2212)/01%3A_Introduction_to_Physics_Measurements_and_Mathematics_Tools/1.09%3A_Math_Review_of_Other_Topics/1.9.19%3A_Applications-_Rates_of_Change_Linear_Approximation_Calculating_Uncertainty_Maxima_and_Minima_Optimization
      From the graph of f in Figure \PageIndex7, we see that f has an absolute maximum at x=1 and an absolute minimum at x=−1. Hence, f has a local maximum at x=1 and a local minim...From the graph of f in Figure \PageIndex7, we see that f has an absolute maximum at x=1 and an absolute minimum at x=−1. Hence, f has a local maximum at x=1 and a local minimum at x=−1. (Note that if f has an absolute extremum over an interval I at a point c that is not an endpoint of I, then f has a local extremum at c.)
    • 1.9.19: Applications- Rates of Change, Linear Approximation, Calculating Uncertainty, Maxima and Minima, Optimization
      https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_I_(2211)/01%3A_Introduction_to_Physics_Measurements_and_Mathematics_Tools/1.09%3A_Math_Review_of_Other_Topics/1.9.19%3A_Applications-_Rates_of_Change_Linear_Approximation_Calculating_Uncertainty_Maxima_and_Minima_Optimization
      From the graph of f in Figure \PageIndex7, we see that f has an absolute maximum at x=1 and an absolute minimum at x=−1. Hence, f has a local maximum at x=1 and a local minim...From the graph of f in Figure \PageIndex7, we see that f has an absolute maximum at x=1 and an absolute minimum at x=−1. Hence, f has a local maximum at x=1 and a local minimum at x=−1. (Note that if f has an absolute extremum over an interval I at a point c that is not an endpoint of I, then f has a local extremum at c.)

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