Calculus (MindTap Course List)8th EditionJames Stewart Publisher: Cengage LearningISBN: 9781285740621
Calculus (MindTap Course List)
Solutions for Calculus (MindTap Course List)
Problem 1E:
Use the given graph to estimate the value of each derivative. Then sketch the graph of f. a f(3) b...Problem 2E:
Use the given graph to estimate the value of each derivative. Then sketch the graph of f. a f(0) b...Problem 3E:
Match the graph of each function in ab with the graph of its derivative in IIV. Give reasons for...Problem 4E:
Trace or copy the graph of the given function f. Assume that the axes have equal scales. Then use...Problem 5E:
Trace or copy the graph of the given function f. Assume that the axes have equal scales. Then use...Problem 6E:
Trace or copy the graph of the given function f. Assume that the axes have equal scales. Then use...Problem 7E:
Trace or copy the graph of the given function f. Assume that the axes have equal scales. Then use...Problem 8E:
Trace or copy the graph of the given function f. Assume that the axes have equal scales. Then use...Problem 9E:
Trace or copy the graph of the given function f. Assume that the axes have equal scales. Then use...Problem 10E:
Trace or copy the graph of the given function f. Assume that the axes have equal scales. Then use...Problem 11E:
Trace or copy the graph of the given function f. Assume that the axes have equal scales. Then use...Problem 12E:
Shown is the graph of the population function P(t) for yeast cells in a laboratory culture. Use the...Problem 13E:
A rechargeable battery is plugged into a charger. The graph shows C(t) the percentage of full...Problem 14E:
The graph from the US Department of Energy shows how driving speed affects gas mileage. Fuel economy...Problem 15E:
The graph shows how the average age M of first marriage of Japanese men varied in the last half of...Problem 16E:
Make a careful sketch of the graph of the sine function and below it sketch the graph of its...Problem 17E:
Let f(x)=x2. a Estimate the values of f(0),f(12),f(1), and f(2) by using a graphing device to zoom...Problem 18E:
Let f(x)=x3. a Estimate the values of f(0),f(12),f(1),f(2), and f(3) by using a graphing device to...Problem 19E:
Find the derivative of the function using the definition of derivative. State the domain of the...Problem 20E:
Find the derivative of the function using the definition of derivative. State the domain of the...Problem 21E:
Find the derivative of the function using the definition of derivative. State the domain of the...Problem 22E:
Find the derivative of the function using the definition of derivative. State the domain of the...Problem 23E:
Find the derivative of the function using the definition of derivative. State the domain of the...Problem 24E:
Find the derivative of the function using the definition of derivative. State the domain of the...Problem 25E:
Find the derivative of the function using the definition of derivative. State the domain of the...Problem 26E:
Find the derivative of the function using the definition of derivative. State the domain of the...Problem 27E:
Find the derivative of the function using the definition of derivative. State the domain of the...Problem 30E:
a Sketch the graph of f(x)=6x by starting with the graph of y=x and using the transformations of...Problem 34E:
The table gives the number N(t), measured in thousands, of minimally invasive cosmetic surgery...Problem 37E:
Let P represent the percentage of a citys electrical power that is produced by solar panels t years...Problem 39E:
The graph of f is given. State, with reasons, the numbers at which f is not differentiable.Problem 40E:
The graph of f is given. State, with reasons, the numbers at which f is not differentiable. 40.Problem 41E:
The graph of f is given. State, with reasons, the numbers at which f is not differentiable.Problem 42E:
The graph of f is given. State, with reasons, the numbers at which f is not differentiable. 42.Problem 45E:
The graphs of a function f and its derivative f are shown. Which is bigger, f(1)orf(1)?Problem 46E:
The graphs of a function f and its derivative f are shown. Which is bigger, f(1)orf(1)?Problem 47E:
The figure shows the graphs of f,f,andf. Identify each curve, and explain your choices.Problem 49E:
The figure shows the graphs of three functions. One is the position function of a car, one is the...Problem 50E:
The figure shows the graphs of four functions. One is the position function of a car, one is the...Problem 51E:
Use the definition of a derivative to find f(x) and f(x). Then graph f,f,andf on a common screen and...Problem 54E:
a The graph of a position function of a car is shown, where .s is measured in feet and t in seconds....Problem 57E:
Show that the function f(x)=|x6| is not differentiable at 6. Find a formula for f and sketch its...Problem 58E:
Where is the greatest integer function f(x)=x not differentiable? Find a formula for f and sketch...Problem 60E:
a Sketch the graph of the function g(x)=x+|x|. b For what values of x is g differentiable? c Find a...Problem 62E:
The left-hand and right-hand derivatives of f at a are defined by f(a)=limh0f(a+h)f(a)h and...Browse All Chapters of This Textbook
Chapter 1.1 - Four Ways To Represent A FunctionChapter 1.2 - Mathematical Models: A Catalog Of Essential FunctionsChapter 1.3 - New Functions From Old FunctionsChapter 1.4 - The Tangent And Velocity ProblemsChapter 1.5 - The Limit Of A FunctionChapter 1.6 - Calculating Limits Using The Limit LawsChapter 1.7 - The Precise Definition Of A LimitChapter 1.8 - ContinuityChapter 1.R - ReviewChapter 1.PPS - Principles Of Problem Solving
Chapter 2.1 - Derivatives And Rates Of ChangeChapter 2.2 - The Derivative As A FunctionChapter 2.3 - Differentiation FormulasChapter 2.4 - Derivatives Of Trigonometric FunctionsChapter 2.5 - The Chain RuleChapter 2.6 - Implicit DifferentiationChapter 2.7 - Rates Of Change In The Natural And Social SciencesChapter 2.8 - Related RatesChapter 2.9 - Linear Approximations And DifferentialsChapter 2.R - ReviewChapter 2.P - Problem PlusChapter 3.1 - Maximum And Minimum ValuesChapter 3.2 - The Mean Value TheoremChapter 3.3 - How Derivatives Affect The Shape Of A GraphChapter 3.4 - Limits At Infinity; Horizontal AsymptotesChapter 3.5 - Summary Of Curve SketchingChapter 3.6 - Graphing With Calculus And CalculatorsChapter 3.7 - Optimization ProblemsChapter 3.8 - Newton's MethodChapter 3.9 - AntiderivativesChapter 3.R - ReviewChapter 3.P - Problem PlusChapter 4.1 - Areas And DistancesChapter 4.2 - The Definite IntegralChapter 4.3 - The Fundamental Theorem Of CalculusChapter 4.4 - Indefinite Integrals And The Net Change TheoremChapter 4.5 - The Substitution RuleChapter 4.R - ReviewChapter 4.P - Problem PlusChapter 5.1 - Areas Between CurvesChapter 5.2 - VolumesChapter 5.3 - Volumes By Cylindrical ShellsChapter 5.4 - WorkChapter 5.5 - Average Value Of A FunctionChapter 5.R - ReviewChapter 5.P - Problem PlusChapter 6.1 - Inverse FunctionsChapter 6.2 - Exponential Functions And Their DerivativesChapter 6.3 - Logarithmic FunctionsChapter 6.4 - Derivatives Of Logarithmic FunctionsChapter 6.2Star - The Natural Logarithmic FunctionChapter 6.3Star - The Natural Exponential FunctionChapter 6.4Star - General Logarithmic And Exponential FunctionsChapter 6.5 - Exponential Growth And DecayChapter 6.6 - Inverse Trigonometric FunctionsChapter 6.7 - Hyperbolic FunctionsChapter 6.8 - Indeterminate Forms And I'hospital's RuleChapter 6.R - ReviewChapter 6.P - Problem PlusChapter 7.1 - Integration By PartsChapter 7.2 - Trigonometric IntegralsChapter 7.3 - Trigonometric SubstitutionChapter 7.4 - Integration Of Rational Functions By Partial FractionsChapter 7.5 - Strategy For IntegrationChapter 7.6 - Integration Using Tables And Computer Algebra SystemsChapter 7.7 - Approximate IntegrationChapter 7.8 - Improper IntegralsChapter 7.R - ReviewChapter 7.P - Problem PlusChapter 8.1 - Arc LengthChapter 8.2 - Area Of A Surface Of RevolutionChapter 8.3 - Applications To Physics And EngineeringChapter 8.4 - Applications To Economics And BiologyChapter 8.5 - ProbabilityChapter 8.R - ReviewChapter 8.P - Problem PlusChapter 9.1 - Modeling With Differential EquationsChapter 9.2 - Direction Fields And Euler’s MethodChapter 9.3 - Separable EquationsChapter 9.4 - Models For Population GrowthChapter 9.5 - Linear EquationsChapter 9.6 - Predator-prey SystemsChapter 9.R - ReviewChapter 9.P - Problem PlusChapter 10.1 - Curves Defined By Parametric EquationsChapter 10.2 - Calculus With Parametric CurvesChapter 10.3 - Polar CoordinatesChapter 10.4 - Areas And Lengths In Polar CoordinatesChapter 10.5 - Conic SectionsChapter 10.6 - Conic Sections In Polar CoordinatesChapter 10.R - ReviewChapter 10.P - Problem PlusChapter 11.1 - SequencesChapter 11.2 - SeriesChapter 11.3 - The Integral Test And Estimates Of SumsChapter 11.4 - The Comparison TestsChapter 11.5 - Alternating SeriesChapter 11.6 - Absolute Convergence And The Ratio And Root TestsChapter 11.7 - Strategy For Testing SeriesChapter 11.8 - Power SeriesChapter 11.9 - Representations Of Functions As Power SeriesChapter 11.10 - Taylor And Maclaurin SeriesChapter 11.11 - Applications Of Taylor PolynomialsChapter 11.R - ReviewChapter 11.P - Problem PlusChapter 12.1 - Three-dimensional Coordinate SystemsChapter 12.2 - VectorsChapter 12.3 - The Dot ProductChapter 12.4 - The Cross ProductChapter 12.5 - Equations Of Lines And PlanesChapter 12.6 - Cylinders And Quadric SurfacesChapter 12.R - ReviewChapter 12.P - Problem PlusChapter 13.1 - Vector Functions And Space CurvesChapter 13.2 - Derivatives And Integrals Of Vector FunctionsChapter 13.3 - Arc Length And CurvatureChapter 13.4 - Motion In Space: Velocity And AccelerationChapter 13.R - ReviewChapter 13.P - Problem PlusChapter 14.1 - Functions Of Several VariablesChapter 14.2 - Limits And ContinuityChapter 14.3 - Partial DerivativesChapter 14.4 - Tangent Planes And Linear ApproximationsChapter 14.5 - The Chain RuleChapter 14.6 - Directional Derivatives And The Gradient VectorChapter 14.7 - Maximum And Minimum ValuesChapter 14.8 - Lagrange MultipliersChapter 14.R - ReviewChapter 14.P - Problem PlusChapter 15.1 - Double Integrals Over RectanglesChapter 15.2 - Double Integrals Over General RegionsChapter 15.3 - Double Integrals In Polar CoordinatesChapter 15.4 - Applications Of Double IntegralsChapter 15.5 - Surface AreaChapter 15.6 - Triple IntegralsChapter 15.7 - Triple Integrals In Cylindrical CoordinatesChapter 15.8 - Triple Integrals In Spherical CoordinatesChapter 15.9 - Change Of Variables In Multiple IntegralsChapter 15.R - ReviewChapter 15.P - Problem PlusChapter 16.1 - Vector FieldsChapter 16.2 - Line IntegralsChapter 16.3 - The Fundamental Theorem For Line IntegralsChapter 16.4 - Green's TheoremChapter 16.5 - Curl And DivergenceChapter 16.6 - Parametric Surfaces And Their AreasChapter 16.7 - Surface IntegralsChapter 16.8 - Stokes' TheoremChapter 16.9 - The Divergence TheoremChapter 16.R - ReviewChapter 16.P - Problem PlusChapter 17.1 - Second-order Linear EquationsChapter 17.2 - Nonhomogeneous Linear EquationsChapter 17.3 - Applications Of Second-order Differential EquationsChapter 17.4 - Series SolutionsChapter 17.R - Review
Book Details
Success in your calculus course starts here! James Stewart's Calculus texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With Calculus, Eighth Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject.
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