MAT135H1 Lecture Notes - Lecture 31: Maxima And Minima
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Global maxima and minima are sometimes called extrema or optimal values. Global extrema are exist: then f has a global maximum and if f is continuous on the closed interval a ex ab a global minimum on that interval. Global maximum and minimum on a closed interval. : test the candia -les for a continuous function f on a closed interval a ex e b : Find the critical points of f in the interval. Evaluate the function at the critical points largest value of the function is the global maximum ; global minimum . and at the endpoints a and b. Global maxima and minima on an open interval or on all real numbers. For a continuous function f find the value of f at all the critical points and sketch a graph . approaches of f on. Look at values of f when x approaches is appropriate . either side of the critical there.