Produktbild: Lay, D: Calculus & Its Applications, Global Edition

Lay, D: Calculus & Its Applications, Global Edition

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

30.04.2018

Verlag

Pearson Academic

Seitenzahl

664

Maße (L/B/H)

27.7/22/3.5 cm

Gewicht

1290 g

Sprache

Englisch

ISBN

978-1-292-22904-1

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

30.04.2018

Verlag

Pearson Academic

Seitenzahl

664

Maße (L/B/H)

27.7/22/3.5 cm

Gewicht

1290 g

Sprache

Englisch

ISBN

978-1-292-22904-1

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  • Produktbild: Lay, D: Calculus & Its Applications, Global Edition
    • 0. Functions
    • 0.1 Functions and Their Graphs
    • 0.2 Some Important Functions
    • 0.3 The Algebra of Functions
    • 0.4 Zeros of Functions - The Quadratic Formula and Factoring
    • 0.5 Exponents and Power Functions
    • 0.6 Functions and Graphs in Applications
    • 1. The Derivative
    • 1.1 The Slope of a Straight Line
    • 1.2 The Slope of a Curve at a Point
    • 1.3 The Derivative and Limits
    • 1.4 Limits and the Derivative
    • 1.5 Differentiability and Continuity
    • 1.6 Some Rules for Differentiation
    • 1.7 More About Derivatives
    • 1.8 The Derivative as a Rate of Change
    • 2. Applications of the Derivative
    • 2.1 Describing Graphs of Functions
    • 2.2 The First and Second Derivative Rules
    • 2.3 The First and Section Derivative Tests and Curve Sketching
    • 2.4 Curve Sketching (Conclusion)
    • 2.5 Optimization Problems
    • 2.6 Further Optimization Problems
    • 2.7 Applications of Derivatives to Business and Economics
    • 3. Techniques of Differentiation
    • 3.1 The Product and Quotient Rules
    • 3.2 The Chain Rule
    • 3.3 Implicit Differentiation and Related Rates
    • 4. The Exponential and Natural Logarithm Functions
    • 4.1 Exponential Functions
    • 4.2 The Exponential Function ex
    • 4.3 Differentiation of Exponential Functions
    • 4.4 The Natural Logarithm Function
    • 4.5 The Derivative of ln x 4.6 Properties of the Natural Logarithm Function
    • 5. Applications of the Exponential and Natural Logarithm Functions
    • 5.1 Exponential Growth and Decay
    • 5.2 Compound Interest
    • 5.3. Applications of the Natural Logarithm Function to Economics
    • 5.4. Further Exponential Models
    • 6. The Definite Integral
    • 6.1 Anti-differentiation
    • 6.2 The Definite Integral and Net Change of a Function
    • 6.3 The Definite Integral and Area Under a Graph
    • 6.4 Areas in the xy-Plane
    • 6.5 Applications of the Definite Integral
    • 7. Functions of Several Variables
    • 7.1 Examples of Functions of Several Variables
    • 7.2 Partial Derivatives
    • 7.3 Maxima and Minima of Functions of Several Variables
    • 7.4 Lagrange Multipliers and Constrained Optimization
    • 7.5 The Method of Least Squares
    • 7.6 Double Integrals
    • 8. The Trigonometric Functions
    • 8.1 Radian Measure of Angles
    • 8.2 The Sine and the Cosine
    • 8.3 Differentiation and Integration of sin t and cos t
    • 8.4 The Tangent and Other Trigonometric Functions
    • 9. Techniques of Integration
    • 9.1 Integration by Substitution
    • 9.2 Integration by Parts
    • 9.3 Evaluation of Definite Integrals
    • 9.4 Approximation of Definite Integrals
    • 9.5 Some Applications of the Integral
    • 9.6 Improper Integrals
    • 10. Differential Equations
    • 10.1 Solutions of Differential Equations
    • 10.2 Separation of Variables
    • 10.3 First-Order Linear Differential Equations
    • 10.4 Applications of First-Order Linear Differential Equations
    • 10.5 Graphing Solutions of Differential Equations
    • 10.6 Applications of Differential Equations
    • 10.7 Numerical Solution of Differential Equations