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Math
CalculusSingle Variable Calculus: Early Transcendentals, Volume I8th Edition

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Chapter 3.5, Problem 8E
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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

Solutions

Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 43E
Problem 44E
Problem 45E
Problem 46E
Problem 47E
Problem 48E
Problem 49E
Problem 50E
Problem 51E
Problem 52E
Problem 53E
Problem 54E
Problem 55E
Problem 56E
Problem 57E
Problem 58E
Problem 59E
Problem 60E
Problem 61E
Problem 62E
Problem 63E
Problem 64E
Problem 65E
Problem 66E
Problem 67E
Problem 68E
Problem 69E
Problem 70E
Problem 71E
Problem 73E
Problem 74E
Problem 75E
Problem 76E
Problem 77E
Problem 78E
Problem 79E
Problem 80E
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

Find dy/dx by implicit differentiation.

8. x3 – xy2 + y3 = 1

To determine

To find: The derivative dydx by implicit differentiation.

Explanation

Given:

The equation x3−xy2+y3=1.

Derivative rules:

(1) Chain rule: If y=f(u) and u=g(x)  are both differentiable function, then

dydx=dydu⋅dudx.

(2) Product rule: ddx(fg)=fddx(g)+gddx(f)

Calculation:

Obtain the derivative of x3−xy2+y3=1 implicitly with respect to x.

x3−xy2+y3=1

Differentiate with respect to x on both sides,

ddx(x3−xy2+y3)=ddx(1)ddx(x3)−ddx(xy2)+ddx(y3)=ddx(1)3x2−ddx(xy2)+ddx(y3)=0

Apply the chain rule (1) and the product rule (2),

3x2−[xddx(y2)+y2ddx(x)]+ddx

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Chapter 3.5,
Problem 7E
Chapter 3.5,
Problem 9E
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Multivariable Calculus

Find the area of the region that lies inside the first curve and outside the second curve. 28. r = 3 sin , r = ...

Calculus: Early Transcendentals

Website Traffic John Sean OHagan is CEO of the online bookstore OHaganBooks.com and notices that, since the est...

Applied Calculus

Finding Parallel and Perpendicular Lines In Exercises 75-82, find equations of the lines that pass through the ...

Calculus: An Applied Approach (MindTap Course List)

Factoring Factor the expression completely. 31. x6 1

Precalculus: Mathematics for Calculus (Standalone Book)

The Existence of an Inverse Function In Exercises l9-24, determine whether the function is one-to-one on its en...

Calculus: Early Transcendental Functions

In Exercises 3148, (a) factor the given expression, and (b) set the expression equal to zero and solve for the ...

Finite Mathematics and Applied Calculus (MindTap Course List)

a. SW Statewide, social workers average 10.2 years of experience. In a random sample, 203 social workers in gre...

Essentials Of Statistics

Ranking a group of cities in terms of "quality of life" would be an example of measurement on a(n)______scale o...

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Is it true that f (g + h) = f g + f h?

Single Variable Calculus

In Exercises 75-98, perform the indicated operations and/or simplify each expression. 87. (a + 5)2

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

When blood flows along a blood vessel, the flux F the volume of blood per unit time that flows past a given poi...

Calculus (MindTap Course List)

Calculate each expression in Exercises 124, giving the answer as a whole number or a fraction in lowest terms. ...

Finite Mathematics

Weinstein, McDermott, and Roediger (2010) report that students who were given questions to be answered while st...

Statistics for The Behavioral Sciences (MindTap Course List)

Statistical Literacy Consider a set of data pairs. What is the first step in processing the data for a paired d...

Understanding Basic Statistics

Poly(3-hydroxybutyrate) (PHB), a semicrystalline polymer that is fully biodegradable and biocompatible, is obta...

Probability and Statistics for Engineering and the Sciences

In problems 23-58, perform the indicated operations and simplify. (x3+x1)(x+2)

Mathematical Applications for the Management, Life, and Social Sciences

Palindromic Numbers A palindromic number is a whole number that remains unchanged when its digits are written i...

Mathematical Excursions (MindTap Course List)

For problems 27-54, simplify each of the numerical expressions. Objective 2 and 3 (2)42(2)33(2)2+7(2)10

Intermediate Algebra

The frame for a kite is to be made from six pieces of wood. The four exterior pieces have been cut with the len...

Single Variable Calculus: Early Transcendentals

The circular tank in Illustration 2 is made of 12 -in. steel weighing 19.8 lb/ft2. a. What is the total weight ...

Elementary Technical Mathematics

For each of the following relations, sketch the graph of the relation and its inverse, and write an equation fo...

Trigonometry (MindTap Course List)

A2a,2b, B2c,2d, and C0,2e are the vertices of ABC. a Find the length of the median from C to AB-. b Find the sl...

Elementary Geometry For College Students, 7e

As a newly hired IRS trainee, you have been asked to calculate the amount of tax refund or tax owed for the fol...

Contemporary Mathematics for Business & Consumers

24. Prove or disprove that every group of order is abelian.

Elements Of Modern Algebra

Evaluating a Double Integral in Exercises 9-16, evaluate the double integral Rf(r,)dA and sketch the region R. ...

Calculus: Early Transcendental Functions (MindTap Course List)

True or False? In Exercises 9398, determine whether the statement is true or false. If it is false, explain why...

Calculus of a Single Variable

In TUV not shown, TUTVVU. Write a three-part inequality that compares the measures of the three angles of TUV. ...

Elementary Geometry for College Students

CONCERT SEATING In how many ways can four married couples attending a concert be seated in a row of eight seats...

Finite Mathematics for the Managerial, Life, and Social Sciences

Finding an Indefinite Integral In Exercises 15-36, find the indefinite integral and check the result by differe...

Calculus

Engine Design A tractor engine has a steel component with a circular base modeled by the vector-valued function...

Calculus (MindTap Course List)

FindingTangentialand NormalComponents of Acceleration In Exercises 35-40, find the tangential and normal compon...

Multivariable Calculus

The quadratic approximation for at a = 1 is:

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

The graph of θ = 2 in polar coordinates is a: circle line spiral 3-leaved rose

Study Guide for Stewart's Multivariable Calculus, 8th

Three different methods for assembling a product were proposed by an industrial engineer. To investigate the nu...

Statistics for Business & Economics, Revised (MindTap Course List)

Use a digital micrometer to measure the thickness of one of your hairs. Be carefulnot to crush the hair.

Mathematics For Machine Technology

State a hypothesis that identifies a specific variable that causes some people to choose red as their favorite ...

Research Methods for the Behavioral Sciences (MindTap Course List)

Weber-Fechner Law What decrease in intensity is necessary to make a sound half as loud?

College Algebra (MindTap Course List)

Advertising age annually compiles a list of the 100 companies that spend the most on advertising. Consumer-good...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

A population consists of only four individuals identified as A, B, C, and D. Your job is to select a simple ran...

Research Methods for the Behavioral Sciences (MindTap Course List)

A sample of 548 ethnically diverse students from Massachusetts were followed over a 19-month period from 1995 a...

Introduction To Statistics And Data Analysis

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