MATH116 Lecture Notes - Lecture 16: Inverse Trigonometric Functions, Constant Function, If And Only If
9 Dec 2015
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Monday, october 26 lecture 17 : mean value theorem (refers to section 3. 14 in your text) Students who have mastered the content of this lecture know about: the mean value theorem, the. Students who have practiced the techniques presented in this lecture will be able to: apply the mvt to various problems, apply the increase-decrease theorem to determine intervals on which a function is increasing or decreasing. We begin by restating an important theorem of calculus, without proof. Like the ivt the evt is an essential property of continuous functions. Again the proof is beyond the scope of this course. But we will be referring to this theorem later. It says that as long as a function is continuous on a closed interval (both endpoints are part of the interval) then the maximal point of that curve can be found at a point in this interval.
