MATH 1A Study Guide - Final Guide: Product Rule, Tangent, Antiderivative

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The material can be divided into four parts: limits (chapter 2); derivatives (chap- ters 2 and 3); applications of di erentiation (chapters 3 and 4); integrals (chapters. Chapter 1 was review, so it is not included here. Make sure you know the properties of logarithms, though. Part 1: limits: the limit of a function (sections 2. 2 and 2. 4) You must be able to read the limit of a function o of its graph. That includes one-sided limits and in nite limits (vertical asymptotes). You must also know the precise de nition of a limit and how to use it: limit laws (section 2. 3) Know how to use all of the limits laws (be careful with division, please). Be prepared to state and/or use the squeeze theorem: continuity (section 2. 5) Know what the de nitions of continuity and one-sided continuity are, and be able to tell where a function is continuous from its graph.

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