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Calculus I by Topic
/ Chapter 4 · Applications of the Derivative
Section 4.7
Newton's Method
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Chapter 4 · Applications of the Derivative
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Lesson on Newton's Method
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Calculus I by Topic
Ch 1 · Review and Prerequisites
1.1 Functions, Graphs, and Lines Review
1.2 Exponential and Logarithmic Functions Review
1.3 Trigonometry Review
1.4 Equations, Inequalities, and Algebra Review
1.5 Exponents and Logarithms
1.6 Factoring
1.7 Functions, Graphs, and Lines
1.8 Algebraic Manipulation and Calculus Prep
Ch 2 · Limits and Continuity
2.1 Introduction to Calculus
2.2 Introduction to Limits
2.3 The Formal Definition of the Limit
2.4 One-Sided Limits
2.5 Introduction to Continuity
2.6 Infinite Limits and Limits at Infinity
2.7 Study & Exam Review
Ch 3 · Differentiation
3.1 Introduction to the Derivative
3.2 Basic Derivative Rules
3.3 Position, Velocity, and Acceleration
3.4 Trigonometric Derivatives
3.5 The Chain Rule
3.6 Implicit Differentiation
3.7 Derivatives of General Exponential and General Logarithmic Functions
3.8 Derivatives of Inverse Trig Functions
3.9 Related Rates Problems
3.10 Linearization
3.11 Study & Exam Review
Ch 4 · Applications of the Derivative
4.1 Extreme Values on Closed Intervals and Critical Points
4.2 Rolle's Theorem and the Mean Value Theorem
4.3 The First Derivative Test for Extrema
4.4 Graphing
4.5 L'Hopital's Rule
4.6 Optimization
4.7 Newton's Method
4.8 Antiderivatives
4.9 Study & Exam Review
Ch 5 · Integration
5.1 Area Estimates and Riemann Sums
5.2 Sigma Notation and the Definite Integral as a Limit of Riemann Sums
5.3 Definite Integrals Using Known Area Formulas
5.4 The Fundamental Theorem of Calculus
5.5 The Substitution Method with Indefinite Integrals
5.6 The Substitution Method with Definite Integrals
5.7 Study & Exam Review
Ch 6 · Transcendental Functions and Separable Differential Equations
6.1 The Logarithm Defined as an Integral
6.2 Separable Differential Equations and Exponential Growth or Decay
6.3 Hyperbolic Functions
Ch 7 · Study Series (Exam Preparation)
7.1 Limits and Continuity Series
7.2 Derivative Rules Series
7.3 L'Hopital's Rule
7.4 Maximums/Minimums/Concavity Etc
7.5 Integration Series
Divide and Conquer Math
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