Calculus with Early Transcendentals
3.1 Differentiation Notation and Consequences
3.2 Derivatives of Polynomials, Exponentials, Products, and Quotients
3.3 Derivatives of Trigonometric Functions
3.4 The Chain Rule
3.5 Implicit Differentiation
3.6 Derivatives of Inverse Functions
3.7 Rates of Change in Use
3.8 Related Rates
3.9 Linearization and Differentials
13.1 Functions of Several Variables
13.2 Limits and Continuity of Multivariable Functions
13.3 Partial Derivatives
13.4 The Chain Rule
- Examples
- Example 7
13.5 Directional Derivatives and Gradient Vectors
13.6 Tangent Planes and Differentials
13.7 Extreme Values of Functions of Two Variables
13.8 Lagrange Multipliers
15.1 Vector Fields
15.2 Line Integrals
15.3 The Fundamental Theorem for Line Integrals
15.4 Green's Theorem
15.5 Parametric Surfaces and Surface Area
15.6 Surface Integrals
15.7 Stokes' Theorem
- Examples
- Example 2
15.8 The Divergence Theorem
- Examples
- Example 2