Review Sheet for MATH 115 at KU
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This 1 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at Kansas taught by a professor in Fall. Since its upload, it has received 26 views.
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Date Created: 02/06/15
Review of Chapter 2 Functions Limits and the Derivative Keywords function limit continuity derivative 1 Formulas MW di erence quotient slope of a secant line average rate of change lim W derivative 0 slope of the tangent line rate of change 2 Concepts theorems and techniques 21 Functions 0 function domain range from expression and graph 0 independent and dependent variables 0 graph of a function or an equation sketch ordered pairs 0 verticalline test 0 composite function g o f 7 f o g o particular functions polynomial functions constant linear quadratic cubic rational functions and poWer functions 0 application to economics demand function supply function market equilibrium equilibrium quantity and price 22 Limit 0 limit and its calculation by using table graph and calculator o indeterminate form 2 tricks eg 22 0 limit at in nity limx w x llmx ioo limm igt0 for n gt O 0 one sided limits limw a limx ai 23 Continuity o continuity and discontinuity of a function at a point 0 relation between graph and continuity 0 properties of continuous functions 0 The intermediate value theorem 0 The theorem for existence of zeros of a continuous function 0 The bisection method 24 Derivative o secant line and its equation 0 tangent line and its equation to the graph of o derivative rate of change and slope of tangent line 0 relation between di erentiability and continuity o calculation of derivative 0 Notation fx x y I 3 Review Problems All odd numbered problems