CALCULUS, VOLUME 1 (OER)17th EditionOpenStax Publisher: XANEDU CISBN: 2810022307715
CALCULUS, VOLUME 1 (OER)
Solutions for CALCULUS,VOLUME 1 (OER)
Problem 347E:
For the following exercises, use logarithmic differentiation to find dydx . 347. y=(sin2x)4xProblem 348E:
For the following exercises, use logarithmic differentiation to find dydx . 348. y=(Inx)InxProblem 349E:
For the following exercises, use logarithmic differentiation to find dydx . 349. y=xlog2xProblem 350E:
For the following exercises, use logarithmic differentiation to find dydx . 350. y=(x21)InxProblem 351E:
For the following exercises, use logarithmic differentiation to find dydx . 351. y=xcotxProblem 352E:
For the following exercises, use logarithmic differentiation to find dydx . 352. y=x+11x243Problem 354E:
[T] Find an equation of the tangent line to the graph of f(x)=4xe(x21) at the point where x = -1....Problem 355E:
[T] Find the equation of the line that is normal to the graph of f(x)=x5x . at the point where x =...Problem 356E:
[T] Find the equation of the tangent line to the graph of x3xIny+y3=2x+5 at the point where x = 2....Problem 357E:
Consider the function y=x1/x for x > 0. Determine the points on the graph where the tangent line is...Problem 358E:
The formula I(t)=sintet is the formula for a decaying alternating current. a. Complete the following...Problem 359E:
[T] The population of Toledo, Ohio, in 2000 was approximately 500,000. Assume the population is...Problem 360E:
[T] An isotope of the element erbium has a half-life of approximately 12 hours. Initially there are...Problem 361E:
[T] The number of cases of influenza in New York City from the beginning of 1960 to the beginning of...Problem 362E:
[T] The relative rate of change of a differentiable function y=f(x) is given by . 100f(x)f(x) . One...Problem 363E:
For the following exercises, use the population of New York City from 1790 to 1860, given in the...Problem 364E:
For the following exercises, use the population of New York City from 1790 to 1860, given in the...Browse All Chapters of This Textbook
Chapter 1 - Functions And GraphsChapter 1.1 - Review Of FunctionsChapter 1.2 - Basic Classes Of FunctionsChapter 1.3 - Trigonometric FunctionsChapter 1.4 - Inverse FunctionsChapter 1.5 - Exponential And Logarithmic FunctionsChapter 2 - LimitsChapter 2.1 - A Preview Of CalculusChapter 2.2 - The Limit Of A FunctionChapter 2.3 - The Limit Laws
Chapter 2.4 - ContinuityChapter 2.5 - The Precise Definition Of A LimitChapter 3 - DerivativesChapter 3.1 - Defining The DerivativeChapter 3.2 - The Derivative As A FunctionChapter 3.3 - Differentiation RulesChapter 3.4 - Derivatives As Rates Of ChangeChapter 3.5 - Derivatives Of Trigonometric FunctionsChapter 3.6 - The Chain RuleChapter 3.7 - Derivatives Of Inverse FunctionsChapter 3.8 - Implicit DifferentiationChapter 3.9 - Derivatives Of Exponential And Logarithmic FunctionsChapter 4 - Applications Of DerivativesChapter 4.1 - Related RatesChapter 4.2 - Linear Approximations And DifferentialsChapter 4.3 - Maxima And MinimaChapter 4.4 - The Mean Value TheoremChapter 4.5 - Derivatives And The Shape Of A GraphChapter 4.6 - Limits At Infinity And AsymptotesChapter 4.7 - Applied Optimization ProblemsChapter 4.8 - L'hopitars RuleChapter 4.9 - Newton's MethodChapter 4.10 - AntiderivativesChapter 5 - IntegrationChapter 5.1 - Approximating AreasChapter 5.2 - The Definite IntegralChapter 5.3 - The Fundamental Theorem Of CalculusChapter 5.4 - Integration Formulas And The Net Change TheoremChapter 5.5 - SubstitutionChapter 5.6 - Integrals Involving Exponential And Logarithmic FunctionsChapter 5.7 - Integrals Resulting In Inverse Trigonometric FunctionsChapter 6 - Applications Of IntegrationChapter 6.1 - Areas Between CurvesChapter 6.2 - Determining Volumes By SlicingChapter 6.3 - Volumes Of Revolution: Cylindrical ShellsChapter 6.4 - Arc Length Of A Curve And Surface AreaChapter 6.5 - Physical ApplicationsChapter 6.6 - Moments And Centers Of MassChapter 6.7 - Integrals, Exponential Functions, And LogarithmsChapter 6.8 - Exponential Growth And DecayChapter 6.9 - Calculus Of The Hyperbolic Functions
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