Solutions for EBK WEBASSIGN FOR STEWART'S ESSENTIAL C
Problem 2E:
Differentiate the function. f(x) = x ln x xProblem 3E:
Differentiate the function. f(x ) = sin(ln x)Problem 4E:
Differentiate the function. f(x) = ln(sin2x)Problem 5E:
Differentiate the function. f(x)=ln1xProblem 6E:
Differentiate the function. y=1lnxProblem 7E:
Differentiate the function. f(x) = sin x ln(5x)Problem 8E:
Differentiate the function. 8. f(x) = log5 (xex)Problem 9E:
Differentiate the function.
Problem 10E:
Differentiate the function. 10. f(u)=u1+lnuProblem 11E:
Differentiate the function. g(x)=ln(xx21)Problem 12E:
Differentiate the function. 12. h(x)=ln(x+x21)Problem 13E:
Differentiate the function. G(y)=ln(2y+1)5y2+1Problem 14E:
Differentiate the function. 14. g(r) = r2 ln(2r + 1)Problem 15E:
Differentiate the function. F(s) = ln ln sProblem 16E:
Differentiate the function. 16. y=ln|cos(lnx)|Problem 20E:
Differentiate the function. 20. g(x)=xexProblem 21E:
Differentiate the function. y=xexProblem 19E:
Differentiate the function. f(x) = (x3 + 2x)exProblem 18E:
Differentiate the function. H(z)=a2z2a2+z2Problem 17E:
Differentiate the function. y = tan[ln(ax + b)]Problem 22E:
Differentiate the function. 22. y=ex1exProblem 23E:
Differentiate the function. y=1+2e3xProblem 24E:
Differentiate the function. 24. y=e2tcos4tProblem 25E:
Differentiate the function. 25. y = 5 1/xProblem 26E:
Differentiate the function. 26. y=101x2Problem 27E:
Differentiate the function. 27. F(t) = et sin 2tProblem 28E:
Differentiate the function. 28. y=eueueu+euProblem 29E:
Differentiate the function. 29. y=ln|2x5x2|Problem 30E:
Differentiate the function. 30. y=1+xe2xProblem 32E:
Differentiate the function. 32. y=ektanxProblem 33E:
Differentiate the function. 33. y=ln(ex+xex)Problem 34E:
Differentiate the function. 34. y=[ln(1+ex)]2Problem 35E:
Differentiate the function. 35. y=2xlog10xProblem 36E:
Differentiate the function. 36. y = x2 e1/xProblem 37E:
Differentiate the function. 37. f(t)=sin2(esin2t)Problem 38E:
Differentiate the function. 38. y=log2(excosx)Problem 39E:
Differentiate the function. 39. g(x) = (2rarx + n)pProblem 40E:
Differentiate the function. 40. y=23x2Problem 41E:
Find y and y. 41. y = eax sin xProblem 42E:
Find y and y. 42. y=lnxx2Problem 43E:
Find y and y. 43. y = x ln xProblem 44E:
Find y and y. 44. y = ln (sec x + tan x)Problem 45E:
Find an equation of the tangent line to the curve at the given point. y = ln(x2 3x + 1), (3. 0)Problem 46E:
Find an equation of the tangent line to the curve at the given point. 46. y = ex/x, (1, e)Problem 51E:
Use logarithmic differentiation to find the derivative of the function. y = (x2 + 2)2(x4 + 4)4Problem 52E:
Use logarithmic differentiation to find the derivative of the function. y=excos2xx2+x+1Problem 54E:
Use logarithmic differentiation to find the derivative of the function. y=xex2x(x+1)2/3Problem 60E:
Use logarithmic differentiation to find the derivative of the function. y = (sin x)ln xProblem 61E:
Find y if 2x2y=x+y.Problem 63E:
Find y if y = ln(x2 + y2).Problem 64E:
Find y if xy = yx.Problem 65E:
The motion of a spring that is subject to a frictional force or a damping force (such as a shock...Problem 66E:
Under certain circumstances a rumor spreads according to the equation p(t)=11+aekt where p(t) is the...Problem 67E:
Show that the function y = Aex + Bxex satisfies the differential equation y + 2y + y = 0.Problem 69E:
If f(x) = e2x, find a formula for f(n)(x).
Problem 70E:
Find the thousandth derivative of f(x) = xe–x.
Problem 71E:
Find a formula for f(n)(x) if f(x) = ln(x 1).Problem 72E:
Find d9dx9(x8lnx).Problem 73E:
If f(x) = 3 + x + ex, find (f1)(4).Problem 74E:
Evaluate .
Browse All Chapters of This Textbook
Chapter T - Diagnostic TestsChapter 1 - Functions And LimitsChapter 1.1 - Functions And Their RepresentationChapter 1.2 - A Catalog Of Essential FunctionsChapter 1.3 - The Limit Of A FunctionChapter 1.4 - Calculating LimitsChapter 1.5 - ContinuityChapter 1.6 - Limits Involving InfinityChapter 2 - DerivativesChapter 2.1 - Derivatives And Rates Of Change
Chapter 2.2 - The Derivative As A FunctionChapter 2.3 - Basic Differentiation FormulasChapter 2.4 - The Product And Quotient RulesChapter 2.5 - The Chain RuleChapter 2.6 - Implicit DifferentiationChapter 2.7 - Related RatesChapter 2.8 - Linear Approximation And DifferentialsChapter 3 - Inverse Functions: Exponential, Logarithmic, And Inverse Trigonometric FunctionsChapter 3.1 - Exponential FunctionsChapter 3.2 - Inverse Functions And LogarithmsChapter 3.3 - Derivatives Of Logarithmic And Exponential FunctionsChapter 3.4 - Exponential Growth And DecayChapter 3.5 - Inverse Trigonometric FunctionsChapter 3.6 - Hyperbolic FunctionsChapter 3.7 - Indeterminate Forms And L'hospital's RuleChapter 4 - Applications Of DifferentiationChapter 4.1 - Maximum And Minimum ValuesChapter 4.2 - The Mean Value TheoremChapter 4.3 - Derivatives And The Shapes Of GraphsChapter 4.4 - Curve SketchingChapter 4.5 - Optimization ProblemChapter 4.6 - Newton's MethodChapter 4.7 - AntiderivativesChapter 5 - IntegralsChapter 5.1 - Areas And DistancesChapter 5.2 - The Definite IntegralChapter 5.3 - Evaluating Definite IntegralsChapter 5.4 - The Fundamental Theorem Of CalculusChapter 5.5 - The Substitution RuleChapter 6 - Techniques Of IntegrationChapter 6.1 - Integration By PartsChapter 6.2 - Trigonometric Integrals And SubstitutionChapter 6.3 - Partial FractionsChapter 6.4 - Integration With Tables And Computer Algebra SystemsChapter 6.5 - Approximate IntegrationChapter 6.6 - Improper IntegralsChapter 7 - Applications Of IntegrationChapter 7.1 - Areas Between CurvesChapter 7.2 - VolumesChapter 7.3 - Volumes By Cylindrical ShellsChapter 7.4 - Arc LengthChapter 7.5 - Area Of A Surface Of RevolutionChapter 7.6 - Applications To Physics And EngineeringChapter 7.7 - Differential EquationsChapter 8 - SeriesChapter 8.1 - SequencesChapter 8.2 - SeriesChapter 8.3 - The Integral And Comparison TestsChapter 8.4 - Other Convergence TestsChapter 8.5 - Power SeriesChapter 8.6 - Representing Functions As Power SeriesChapter 8.7 - Taylor And Maclaurin SeriesChapter 8.8 - Applications Of Taylor PolynomialsChapter 9 - Parametric Equations And Polar CoordinatesChapter 9.1 - Parametric CurvesChapter 9.2 - Calculus With Parametric CurvesChapter 9.3 - Polar CoordinatesChapter 9.4 - Areas And Lengths In Polar CoordinatesChapter 9.5 - Conic Sections In Polar CoordinatesChapter 10 - Vectors And The Geometry Of SpaceChapter 10.1 - Three-dimensional Coordinate SystemsChapter 10.2 - VectorsChapter 10.3 - The Dot ProductChapter 10.4 - The Cross ProductChapter 10.5 - Equations Of Lines And PlanesChapter 10.6 - Cylinders And Quadratic SurfacesChapter 10.7 - Vector Functions And Space CurvesChapter 10.8 - Arc Length And CurvatureChapter 10.9 - Motion In Space: Velocity And AccelerationChapter 11 - Partial DerivativesChapter 11.1 - Functions Of Several VariablesChapter 11.2 - Limits And ContinuityChapter 11.3 - Partial DerivativesChapter 11.4 - Tangent Planes And Linear ApproximationsChapter 11.5 - The Chain RuleChapter 11.6 - Directional Derivatives And The Gradient VectorChapter 11.7 - Maximum And Minimum ValuesChapter 11.8 - Lagrange MultipliersChapter 12 - Multiple IntegralsChapter 12.1 - Double Integrals Over RectanglesChapter 12.2 - Double Integrals Over General RegionsChapter 12.3 - Double Integrals In Polar CoordinatesChapter 12.4 - Applications Of Double IntegralsChapter 12.5 - Triple IntegralsChapter 12.6 - Triple Integrals In Cylindrical CoordinatesChapter 12.7 - Triple Integrals In Spherical CoordinatesChapter 12.8 - Change Of Variables In Multiple IntegralsChapter 13 - Vector CalculusChapter 13.1 - Vector FieldsChapter 13.2 - Line IntegralsChapter 13.3 - The Fundamental Theorem For Line IntegralsChapter 13.4 - Green's TheoremChapter 13.5 - Curl And DivergenceChapter 13.6 - Parametric Surfaces And Their AreasChapter 13.7 - Surface IntegralsChapter 13.8 - Stokes' TheoremChapter 13.9 - The Divergence TheoremChapter A - TrigonometryChapter B - Sigma NotationChapter C - The Logarithm Defined As An Integral
Sample Solutions for this Textbook
We offer sample solutions for EBK WEBASSIGN FOR STEWART'S ESSENTIAL C homework problems. See examples below:
Chapter T, Problem 1ADTA function f is defined as a ordered pair (x,f(x)) such that x and f(x) are related by a definite...Result used: Derivative rule: Let I be an interval, c∈I, and f:I→ℝ then f′(c)=limx→cf(x)−f(c)x−c...One to one function: When a function does not takes the same value twice, then the function is...Given: Distance between the point P from the track =1 Calculation: Two runners start at the point S...The Riemann sum of a function f is the method to find the total area underneath a curve. The area...Explanation to state the rule for integration by parts: The rule that corresponds to the Product...Consider the two curves y=f(x) and y=g(x). Here, the top curve function is f(x) and the bottom curve...Definition: If a sequence {an} has a limit l, then the sequence is convergent sequence, which can be...
The parametric curve is defined as the set of points (x,y) of the form x=f(t) and y=g(t), where...The difference between a vector and a scalar is explained in Table 1. Table 1 S No. Vector Scalar 1...Let the function be f(x,y) . The function of two variables is assigned by a two real numbers in ℝ2...Given that the continuous function f is defined on a rectangle R=[a,b]×[c,d]. The double integral of...Refer to Figure 1 in the textbook for the velocity vector fields showing San Francisco Bay wind...Formula used: The relation between degrees and radians is given by, π rad=180°. Calculation: Re...Definition used: If am,am+1,⋯,an are real numbers and m and n are integers such that m≤n, then...Definition used: The natural logarithmic function is the function defined by lnx=∫1x1tdt,x>0. If...
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