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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Unformatted text preview: 4.9 Antiderivatives 7 Exponential, Logarithmic, and Inverse Trigonometric Functions 7.1 Inverse Functions 7.2 Exponential Functions Their Derivatives 7.3 Logarithmic Functions 7.4 Derivatives of Logarithmic Functions 7.5 Exponential Growth and Decay** 7.6 Inverse Trigonometric Functions 7.8 Indeterminate Forms and L'Hospital's Rule ** Indicates topics not tested in Exam 1, 2, or 3 Materials for the UT Learning Center M408K Final Exam Review can be found at: http://www.utexas.edu/student/utlc/classes/FER-M408K/ Not Addressed in M408K FER (And Not Directly Tested in Exams 1 through 3) Appendixes (assigned as reading and reference) A Numbers, Inequalities, and Absolute Values B Coordinate Geometry and Lines C Graphs of Second-Degree Equations D Trigonometry 1 Functions and Models (assigned as reading and reference) 1.1 Four Ways to Represent a Function 1.2 Mathematical Models: A Catalog of Essential Functions 1.3 New Functions from Old Functions...
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This note was uploaded on 03/31/2010 for the course M 408 K m 408 k taught by Professor G during the Spring '09 term at University of Texas-Tyler.

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m03 - 4.9 Antiderivatives 7 Exponential Logarithmic and...

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