Solutions for CALCULUS,VOLUME 1 (OER)
Problem 367RE:
True or False? Justify the answer with a proof or a counterexample. 367. Every function has a...Problem 368RE:
True or False? Justify the answer with a proof or a counterexample. 368. A continuous function has a...Problem 369RE:
True or False? Justify the answer with a proof or a counterexample. 369. A continuous function has a...Problem 370RE:
True or False? Justify the answer with a proof or a counterexample. 370. If a function is...Problem 371RE:
Use the Limit definition of the derivative to exactly evaluate the derivative. 371. f(x)=x+4Problem 372RE:
Use the Limit definition of the derivative to exactly evaluate the derivative. 372. f(x)=3xProblem 381RE:
Find the following derivatives of various orders 381. 381. First derivative of y=xIn(x)cosxProblem 383RE:
Find the following derivatives of various orders. 383. Second derivative of y=4x+x2sin(x)Problem 384RE:
Find the equation of the tangent line to the following equations at the specified point. 384....Problem 385RE:
Find the equation of the tangent line to the following equations at the specified point. 385....Problem 386RE:
Draw the derivative for the following graphs. 386.Problem 387RE:
Draw the derivative for the following graphs. 387. The following questions concern the water level...Problem 388RE:
Find and graph the derivative. What is the physical meaning?Problem 389RE:
Find w' (3). What is the physical meaning of this value? The following questions consider the wind...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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