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What is included with this book?
Functions And Linear Models | |
Functions | |
Function Notation | |
Graphs of Functions | |
Domain and Range | |
Exercises | |
Linear Functions | |
Intercepts | |
Linear Equations | |
Finding the Equation of a Line | |
Other Forms of Linear Equations | |
Graphing Linear Functions | |
Exercises | |
Nonlinear Models | |
Quadratic Function Models | |
Exercises | |
Exponential Function Models | |
Exponential Function Graphs | |
Properties of Exponents | |
Finding an Exponential Function from a Table | |
Using Exponential Regression to Model Data | |
Finding an Exponential Function from a Verbal Description | |
Exercises | |
The Derivative | |
Average Rate of Change | |
Graphical Interpretation of the Difference Quotient | |
Exercises | |
Limits and Instantaneous Rates of Change | |
Limits | |
Exercises | |
The Derivative as a Slope: Graphical Methods | |
Tangent-Line Approximations | |
Numerical Derivatives | |
Exercises | |
The Derivative as a Function: Algebraic Method | |
Estimating Derivatives | |
Exercises | |
Interpreting the Derivative | |
Exercises | |
Differentiation Techniques | |
Basic Derivative Rules | |
Derivative Notation | |
The Constant Rule | |
The Power Rule | |
Constant Multiple Rule | |
Sum and Difference Rule | |
Exercises | |
The Product and Quotient Rules | |
Exercises | |
The Chain Rule | |
Composition of Functions | |
The Chain Rule | |
Chain Rule: Alternative Form | |
Exercises | |
Exponential and Logarithmic Rules | |
Exponential Rule | |
Logarithmic Rule | |
Exercises | |
Implicit Differentiation | |
Exercises | |
Derivative Applications | |
Maxima and Minima | |
Continuity | |
Relative and Absolute Extrema | |
Critical Values | |
The First Derivative TeSt. Exercises | |
Applications of Maxima and Minima | |
Revenue, Cost, and Profit | |
Area and Volume | |
Exercises | |
Concavity and the Second Derivative | |
Concavity | |
The Second Derivative TeSt. Point of Diminishing Returns | |
Position, Velocity, and Acceleration | |
Curve Sketching | |
Exercises | |
Related Rates | |
Exercises | |
The Integral | |
Indefinite Integrals | |
Basic Integration Rules | |
Indefinite Integral Applications | |
Exercises | |
Integration by Substitution | |
Differentials | |
Integration by Substitution | |
Exercises | |
Using Sums to Approximate Area | |
Exercises | |
The Definite Integral | |
Summation Notation | |
The Definite Integral | |
Definite Integral Properties | |
Exercises | |
The Fundamental Theorem of Calculus | |
Changing Limits of Integration | |
Exercises | |
Advanced Integration Techniques And Applications | |
Integration by Parts | |
Exercises | |
Area Between Two Curves | |
Difference of Accumulated Changes | |
Exercises | |
Differential Equations and Applications | |
Newton's Law of Heating and Cooling | |
Exercises | |
Differential Equations: Limited Growth and Logistic Growth Models | |
Limited Growth Model | |
Logistic Growth Model | |
Exercises | |
Multivariable Functions And Partial Derivatives | |
Multivariable Functions | |
Exercises | |
Partial Derivatives | |
Cross Sections of a Surface | |
Second-Order Partial Derivatives | |
Exercises | |
Multivariable Maxima and Minima | |
Exercises | |
Constrained Maxima and Minima and Applications | |
Graphical Interpretation of Constrained Optimization Problems | |
Exercises | |
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