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| Functions ? | |
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| Functions and Their Graphs | |
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| Identifying Functions | |
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| Mathematical Models | |
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| Combining Functions | |
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| Shifting and Scaling Graphs | |
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| Graphing with Calculators and Computers | |
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| Exponential Functions | |
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| Inverse Functions and Logarithms | |
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| Limits and Continuity | |
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| Rates of Change and Limits | |
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| Calculating Limits Using the Limit Laws | |
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| Precise Definition of a Limit | |
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| One-Sided Limits and Limits at Infinity | |
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| Infinite Limits and Vertical Asymptotes | |
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| Continuity | |
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| Tangents and Derivatives | |
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| Differentiation | |
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| The Derivative as a Function | |
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| Differentiation Rules for Polynomials, Exponentials, Products and Quotients | |
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| The Derivative as a Rate of Change | |
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| Derivatives of Trigonometric Functions | |
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| The Chain Rule and Parametric Equations | |
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| Implicit Differentiation | |
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| Derivatives of Inverse Functions and Logarithms | |
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| Inverse Trigonometric Functions | |
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| Related Rates | |
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| Linearization and Differentials | |
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| Applications of Derivatives | |
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| Extreme Values of Functions | |
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| The Mean Value Theorem | |
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| Monotonic Functions and the First Derivative Test | |
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| Concavity and Curve Sketching | |
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| Applied Optimization Problems | |
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| Indeterminate Forms and L'Hopital's Rule | |
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| Newton's Method | |
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| Antiderivatives | |
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| Integration | |
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| Estimating with Finite Sums | |
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| Sigma Notation and Limits of Finite Sums | |
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| The Definite Integral | |
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| The Fundamental Theorem of Calculus | |
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| Indefinite Integrals and the Substitution Rule | |
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| Substitution and Area Between Curves | |
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| Applications of Definite Integrals | |
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| Volumes by Slicing and Rotation About an Axis | |
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| Volumes by Cylindrical Shells | |
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| Lengths of Plane Curves | |
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| Moments and Centers of Mass | |
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| Areas of Surfaces of Revolution and The Theorems of Pappus | |
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| Work& | |