# m03 - 4.9 Antiderivatives 7 Exponential Logarithmic and...

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Materials for the UT Learning Center M408K Final Exam Review can be found at: http://www.utexas.edu/student/utlc/classes/FER-M408K/ M408K Final Exam Review Timeline UT Learning Center – Fall 2009 Day 1 2 Limits and Rates of Change 2.1 The Tangent and Velocity Problems 2.2 The Limit of a Function 2.3 Calculating Limits Using the Limit Laws 2.4 The Precise Definition of a Limit** 2.5 Continuity 3 Derivatives 3.1 Derivatives and Rates of Change 3.2 The Derivative as a Function 3.3 Differentiation Formulas 3.4 Derivatives of Trigonometric Functions 3.5 The Chain Rule 3.6 Implicit Differentiation 3.7 Rates of Change in the Natural and Social Sciences 3.8 Related Rates 3.9 Linear Approximations and Differentials Day 2 4 Applications of Differentiation 4.1 Maximum and Minimum Values 4.2 The Mean Value Theorem 4.3 How Derivatives Affect the Shape of a Graph 4.4 Limits at Infinity; Horizontal Asymptotes 4.5 Summary of Curve Sketching 4.7 Optimization Problems 4.8 Newton's Method

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