Solutions C Answers to Selected Exercises
This appendix contains answers to all non-WeBWorK exercises in the text. For WeBWorK exercises, please use the HTML version of the text for access to answers and solutions.
Chapter 1 Understanding the Derivative
Section 1.1 How do we measure velocity?
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Section 1.2 The notion of limit
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Section 1.3 The derivative of a function at a point
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Section 1.4 The derivative function
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Section 1.5 Interpreting, estimating, and using the derivative
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Section 1.6 The second derivative
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Section 1.7 Limits, Continuity, and Differentiability
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Section 1.8 The Tangent Line Approximation
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Chapter 2 Computing Derivatives
Section 2.1 Elementary derivative rules
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Section 2.2 The sine and cosine functions
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Section 2.3 The product and quotient rules
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Section 2.4 Derivatives of other trigonometric functions
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Section 2.5 The chain rule
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Section 2.6 Derivatives of Inverse Functions
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Section 2.7 Derivatives of Functions Given Implicitly
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Section 2.8 Using Derivatives to Evaluate Limits
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Chapter 3 Using Derivatives
Section 3.1 Using derivatives to identify extreme values
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Section 3.2 Using derivatives to describe families of functions
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Section 3.3 Global Optimization
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Section 3.4 Applied Optimization
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Section 3.5 Related Rates
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Chapter 4 The Definite Integral
Section 4.1 Determining distance traveled from velocity
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Section 4.2 Riemann Sums
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Section 4.3 The Definite Integral
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Section 4.4 The Fundamental Theorem of Calculus
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Chapter 5 Evaluating Integrals
Section 5.1 Constructing Accurate Graphs of Antiderivatives
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Section 5.2 The Second Fundamental Theorem of Calculus
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Section 5.3 Integration by Substitution
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Section 5.4 Integration by Parts
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Section 5.5 Other Options for Finding Algebraic Antiderivatives
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Section 5.6 Numerical Integration
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Chapter 6 Using Definite Integrals
Section 6.1 Using Definite Integrals to Find Area and Length
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Section 6.2 Using Definite Integrals to Find Volume
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Section 6.3 Density, Mass, and Center of Mass
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Section 6.4 Physics Applications: Work, Force, and Pressure
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Section 6.5 Improper Integrals
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Chapter 7 Differential Equations
Section 7.1 An Introduction to Differential Equations
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Section 7.2 Qualitative behavior of solutions to DEs
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Section 7.3 Euler's method
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Section 7.4 Separable differential equations
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Section 7.5 Modeling with differential equations
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Section 7.6 Population Growth and the Logistic Equation
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Chapter 8 Sequences and Series
Section 8.1 Sequences
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Section 8.2 Geometric Series
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Section 8.3 Series of Real Numbers
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Section 8.4 Alternating Series
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Section 8.5 Taylor Polynomials and Taylor Series
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Section 8.6 Power Series
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