Course contents
Calculus I
7 chapters · 70 sections · 700 questions with worked solutions.
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1. Review
10 sections2. Limits
10 sections3. Derivatives
13 sections- 3-1The Definition of the Derivative
- 3-2Interpretation of the Derivative
- 3-3Differentiation Formulas
- 3-4Product and Quotient Rule
- 3-5Derivatives of Trig Functions
- 3-6Derivatives of Exponential and Logarithm Functions
- 3-7Derivatives of Inverse Trig Functions
- 3-8Derivatives of Hyperbolic Functions
- 3-9Chain Rule
- 3-10Implicit Differentiation
- 3-11Related Rates
- 3-12Higher Order Derivatives
- 3-13Logarithmic Differentiation
4. Application of Derivatives
14 sections- 4-1Rates of Change
- 4-2Critical Points
- 4-3Minimum and Maximum Values
- 4-4Finding Absolute Extrema
- 4-5The Shape of a Graph, Part I
- 4-6The Shape of a Graph, Part II
- 4-7The Mean Value Theorem
- 4-8Optimization
- 4-9More Optimization
- 4-10L’Hospital’s Rule and Indeterminate Forms
- 4-11Linear Approximations
- 4-12Differentials
- 4-13Newton’s Method
- 4-14Business Applications