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2.1 A Preview of Calculus
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Calculus I
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- 1 2.1 A Preview of Calculus
- 2 2.2 The Limit of a Function
- 3 2.3 The Limit Laws
- 4 2.4 Continuity
- 5 2.5 The Precise Definition of a Limit
- 6 3.1 Defining the Derivative
- 7 3.2 The Derivative as a Function
- 8 3.3 Differentiation Rules
- 9 3.4 Derivatives as Rates of Change
- 10 3.5 Derivatives of Trigonometric Functions
- 11 3.6 The Chain Rule
- 12 3.7 Derivatives of Inverse Functions
- 13 3.8 Implicit Differentiation
- 14 3.9 Derivatives of Exponential and Logarithmic Functions
- 15 3.10 Partial Derivatives
- 16 4.1 Related Rates
- 17 4.2 Linear Approximations and Differentials
- 18 4.3 Maxima and Minima
- 19 4.4 The Mean Value Theorem
- 20 4.5 Derivatives and the Shape of a Graph
- 21 4.6 Limits at Infinity and Asymptotes
- 22 4.7 Applied Optimization Problems
- 23 4.8 L'Hopital's Rule
- 24 4.9 Newton's Method
- 25 4.10 Antiderivatives
