MATH 157 Lecture Notes - Maxima And Minima, Marginal Revenue
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MATH 157 Full Course Notes
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Introduction: in the next few lectures you will be introduced to skills and concepts that will allow you to. __________ without using _____________________ and answer questions of _________________ such as what is the maximum profit for a certain business enterprise? . f x by y. Monotonicity: a function f x is monotonic on an interval ( , )a b if it is either __________ or __________ there. Suppose 1x and 2x are in the interval and 1 x . x. 2 y f is increasing if f x. Monotonicity test: suppose f is a _________________ function on an _________ interval ( , )a b . ____________________ on ( , )a b . for all x in ( , )a b , then f is. Critical numbers (x-values): for a function f are those. ______________ c in the ______________ of f such that. The points ( , c f c are called ______________ points. (__________________). f c f c or.