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:
Find the derivative ddx(x).Problem 2CYU:
Differentiate the function y=x+(x5+1)103.Problem 1E:
Differentiate. y=6x3Problem 2E:
Differentiate. y=3x4Problem 3E:
Differentiate. y=3x3Problem 4E:
Differentiate. y=13x3Problem 5E:
Differentiate. y=x22xProblem 6E:
Differentiate. f(x)=12+173Problem 7E:
Differentiate. f(x)=x4+x3+xProblem 8E:
Differentiate. y=4x32x2+x+1Problem 9E:
Differentiate. y=(2x+4)3Problem 10E:
Differentiate. y=(x21)3Problem 11E:
Differentiate. y=(x3+x2+1)7Problem 12E:
Differentiate. y=(x2+x)2Problem 13E:
Differentiate. y=4x2Problem 14E:
Differentiate. y=4(x26)3Problem 15E:
Differentiate. y=32x2+13Problem 16E:
Differentiate. y=2x+1Problem 17E:
Differentiate. y=2x+(x+2)2Problem 18E:
Differentiate. y=(x1)3+(x+2)4Problem 19E:
Differentiate. y=15x5Problem 20E:
Differentiate. y=(x2+1)2+3(x21)2Problem 21E:
Differentiate. y=1x3+1Problem 22E:
Differentiate. y=2x+1Problem 24E:
Differentiate. y=2x2+14Problem 25E:
Differentiate. f(x)=53x3+xProblem 26E:
Differentiate. y=1x3+x+1Problem 27E:
Differentiate. y=3x+3Problem 30E:
Differentiate. y=12x+5Problem 31E:
Differentiate. y=215xProblem 32E:
Differentiate. y=71+xProblem 33E:
Differentiate. y=451+x+xProblem 34E:
Differentiate. y=(1+x+x2)11Problem 36E:
Differentiate. y=2xProblem 37E:
Differentiate. f(x)=(x2+1)3/2Problem 38E:
Differentiate. y=(x1x)1Problem 39E:
In Exercises 39 and 40, find the slope of the graph of y=f(x) at the designated point. f(x)=3x22x+1,...Problem 40E:
In Exercises 39 and 40, find the slope of the graph of y=f(x) at the designated point....Problem 43E:
Find the slope of the tangent line to the curve y=(x215)6 at x=4.Then write the equation of this...Problem 45E:
Differentiate the function f(x)=(3x2+x2)2 in two ways. Use the general power rule. Multiply 3x2+x2...Problem 46E:
Using the sum rule and the constant-multiple rule, show that for any functions f(x)andg(x) ddx[...Problem 47E:
Figure 2 contains the curves y=f(x) and y=g(x) and the tangent line to y=f(x) at x=1, with...Problem 48E:
Figure 3 contains the curves y=f(x),y=g(x),andy=h(x) and the tangent lines to y=f(x)andy=g(x) at...Problem 53E:
The tangent line to the curve y=13x34x2+18x+22 is parallel to the line 6x2y=1 at two points on the...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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