Pearson eText for Calculus & Its Applic...14th EditionLarry Goldstein, David Lay Publisher: PEARSON+ISBN: 9780137400096
Pearson eText for Calculus & Its Applic...
Solutions for Pearson eText for Calculus & Its Applications -- Instant Access (Pearson+)
Problem 1CYU:
Consider the function h(x)=(2x35)5+(2x35)4 Write h(x) as a composition function, f(g(x)).Problem 5E:
Each of following functions may be viewed as a composite function h(x)=f(g(x)). Find f(x) and g(x)....Problem 6E:
Each of following functions may be viewed as a composite function h(x)=f(g(x)). Find f(x) and g(x)....Problem 7E:
Each of following functions may be viewed as a composite function h(x)=f(g(x)). Find f(x) and g(x)....Problem 8E:
Each of following functions may be viewed as a composite function h(x)=f(g(x)). Find f(x) and g(x)....Problem 9E:
Each of following functions may be viewed as a composite function h(x)=f(g(x)). Find f(x) and g(x)....Problem 10E:
Each of following functions may be viewed as a composite function h(x)=f(g(x)). Find f(x) and g(x)....Problem 11E:
Differentiate the functions in Exercises 1120 using one or more of the differentiation rules...Problem 12E:
Differentiate the functions in Exercises 1120 using one or more of the differentiation rules...Problem 13E:
Differentiate the functions in Exercises 1120 using one or more of the differentiation rules...Problem 14E:
Differentiate the functions in Exercises 1120 using one or more of the differentiation rules...Problem 15E:
Differentiate the functions in Exercises 1120 using one or more of the differentiation rules...Problem 16E:
Differentiate the functions in Exercises 1120 using one or more of the differentiation rules...Problem 17E:
Differentiate the functions in Exercises 1120 using one or more of the differentiation rules...Problem 18E:
Differentiate the functions in Exercises 1120 using one or more of the differentiation rules...Problem 19E:
Differentiate the functions in Exercises 1120 using one or more of the differentiation rules...Problem 20E:
Differentiate the functions in Exercises 1120 using one or more of the differentiation rules...Problem 21E:
In Exercises 2126, a function h(x) is defined in terms of a differentiable f(x). Find an expression...Problem 24E:
In Exercises 2126, a function h(x) is defined in terms of a differentiable f(x). Find an expression...Problem 25E:
In Exercises 2126, a function h(x) is defined in terms of a differentiable f(x). Find an expression...Problem 27E:
Sketch the graph of y=4x/(x+1)2,x1.Problem 28E:
Sketch the graph of y=2/(1+x2)Problem 37E:
Compute dydx using the chain rule in formula (1). State your answer in terms of x only y=u3/2,u=4x+1...Problem 38E:
Compute dydx using the chain rule in formula (1). State your answer in terms of x only y=u2+2u,u=xx2...Problem 39E:
Compute dydx using the chain rule in formula (1). State your answer in terms of x only...Problem 41E:
Compute dydxt=t0 y=x23x,x=t2+3,t0=0Problem 42E:
Compute dydxt=t0 y=(x22x+4)2,x=1t+1,t0=1Problem 43E:
Compute dydxt=t0 y=x+1x1,x=t24,t0=3Problem 47E:
Find the x- coordinate of all points on the curve y=(x2+4x3)3 with horizontal tangent line.Problem 50E:
Allometric Equation Many relations in biology are expressed by power functions, known as allometric...Problem 51E:
Suppose that P, y and t are variables, where P is a function of y an y is a function of t. Write the...Problem 52E:
Suppose that Q, x and y are variables, where Q is a function of x and x is a function of y. (Read...Problem 53E:
Marginal Profit and Times Rate of Change When a company produces and sells x thousands units per...Problem 54E:
Marginal Cost and Time Rate of Change The cost of manufacturing x cases of cereal is C dollars,...Problem 55E:
A model for Carbon Monoxide Levels Ecologists estimate that, when the population of a certain city...Problem 56E:
Profit A manufacturer of microcomputers estimates that t months from now it will sell x thousand...Problem 59E:
If f(x) and g(x) are differentiable functions, such that f(1)=2, f(1)=3, f(5)=4, g(1)=5, g(1)=6,...Problem 61E:
Effect of Stocks on Total Assets of a Company After a computer software company went public, the...Problem 62E:
Refer to Exercise 61. Use chain rule to find dWdt|t=1.5 and dWdt|t=3.5. Give the interpretation for...Problem 63E:
Refer to Exercise 61. Find dxdt|t=2.5 and dxdt|t=4. Give an interpretation for these values. Use...Browse All Chapters of This Textbook
Chapter 0 - FunctionsChapter 0.1 - Functions And Their GraphsChapter 0.2 - Some Important FunctionsChapter 0.3 - The Algebra Of FunctionsChapter 0.4 - Zeros Of Functions—the Quadratic Formula And FactoringChapter 0.5 - Exponents And Power FunctionsChapter 0.6 - Functions And Graphs In ApplicationsChapter 1 - The DerivativeChapter 1.1 - The Slope Of A Straight LineChapter 1.2 - The Slope Of A Curve At A Point
Chapter 1.3 - The Derivative And LimitsChapter 1.4 - Limits And The DerivativeChapter 1.5 - Differentiability And ContinuityChapter 1.6 - Some Rules For DifferentiationChapter 1.7 - More About DerivativesChapter 1.8 - The Derivative As A Rate Of ChangeChapter 2 - Applications Of The DerivativeChapter 2.1 - Describing Graphs Of FunctionsChapter 2.2 - The First- And Second-derivative RulesChapter 2.3 - The First- And Second-derivative Tests And Curve SketchingChapter 2.4 - Curve Sketching (conclusion)Chapter 2.5 - Optimization ProblemsChapter 2.6 - Further Optimization ProblemsChapter 2.7 - Applications Of Derivatives To Business And EconomicsChapter 3 - Techniques Of DifferentiationChapter 3.1 - The Product And Quotient RulesChapter 3.2 - The Chain RuleChapter 3.3 - Implicit Differentiation And Related RatesChapter 4 - The Exponential And Natural Logarithm FunctionsChapter 4.1 - Exponential FunctionsChapter 4.2 - The Exponential Function ExChapter 4.3 - Differentiation Of Exponential FunctionsChapter 4.4 - The Natural Logarithm FunctionChapter 4.5 - The Derivative Of Ln XChapter 4.6 - Properties Of The Natural Logarithm FunctionChapter 5 - Applications Of The Exponential And Natural Logarithm FunctionsChapter 5.1 - Exponential Growth And DecayChapter 5.2 - Compound InterestChapter 5.3 - Applications Of The Natural Logarithm Function To EconomicsChapter 5.4 - Further Exponential ModelsChapter 6 - The Definite IntegralChapter 6.1 - AntidifferentiationChapter 6.2 - The Definite Integral And Net Change Of A FunctionChapter 6.3 - The Definite Integral And Area Under A GraphChapter 6.4 - Areas In The Xy-planeChapter 6.5 - Applications Of The Definite IntegralChapter 7 - Functions Of Several VariablesChapter 7.1 - Examples Of Functions Of Several VariablesChapter 7.2 - Partial DerivativesChapter 7.3 - Maxima And Minima Of Functions Of Several VariablesChapter 7.4 - Lagrange Multipliers And Constrained OptimizationChapter 7.5 - The Method Of Least SquaresChapter 7.6 - Double IntegralsChapter 8 - The Trigonometric FunctionsChapter 8.1 - Radian Measure Of AnglesChapter 8.2 - The Sine And The CosineChapter 8.3 - Differentiation And Integration Of Sin T And Cos TChapter 8.4 - The Tangent And Other Trigonometric FunctionsChapter 9 - Techniques Of IntegrationChapter 9.1 - Integration By SubstitutionChapter 9.2 - Integration By PartsChapter 9.3 - Evaluation Of Definite IntegralsChapter 9.4 - Approximation Of Definite IntegralsChapter 9.5 - Some Applications Of The IntegralChapter 9.6 - Improper IntegralsChapter 10 - Differential EquationsChapter 10.1 - Solutions Of Differential EquationsChapter 10.2 - Separation Of VariablesChapter 10.3 - First-order Linear Differential EquationsChapter 10.4 - Applications Of First-order Linear Differential EquationsChapter 10.5 - Graphing Solutions Of Differential EquationsChapter 10.6 - Applications Of Differential EquationsChapter 10.7 - Numerical Solution Of Differential EquationsChapter 11 - Taylor Polynomials And Infinite SeriesChapter 11.1 - Taylor PolynomialsChapter 11.2 - The Newton–raphson AlgorithmChapter 11.3 - Infinite SeriesChapter 11.4 - Series With Positive TermsChapter 11.5 - Taylor SeriesChapter 12 - Probability And CalculusChapter 12.1 - Discrete Random VariablesChapter 12.2 - Continuous Random VariablesChapter 12.3 - Expected Value And VarianceChapter 12.4 - Exponential And Normal Random VariablesChapter 12.5 - Poisson And Geometric Random Variables
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