MAT135H1 Lecture Notes - Lecture 29: Maxima And Minima, Inflection
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, p , inflection point of f . at which the graph of a continuous function f. Inflection point and local maxima and minima of the derivative . a. Suppose then f has local function f inflection an maximum at p . Suppose f values off . a changes sign at p , f " 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 t 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.
