MATH 1151 Study Guide - Midterm Guide: Virginia State Route 2, Mean Value Theorem, Antiderivative
16 Sep 2018
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MATH 1151 Full Course Notes
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Ex. (0) = 0,( 1) = 1,( 2) = 0,( 3) = 1 lim 3 () = lim () = 0, lim 0 () = 1, lim () = 1, lim 0+() = 0, lim 1() = . () > 0 on ( , 3), ( 1, 0), (0, 1) () > 0 on ( , 3), ( 2, 1), (0, 1), (1, ) Max ip min: make a chart, graph. 22 + 3 ( 1)( + 1) lim . Global extrema () is a global max on an interval, , if () () for all in . Not a global minima, since f(x) does not reach 0. If () is continuous on [,], the () has a global max plus global min in [,]. Example: () =3 32, find all global extrema on [1,4: evaluate at critical points and end points.
