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CalculusCalculus: An Applied Approach (MindTap Course List)10th Edition

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Chapter 7.4, Problem 7E
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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Finding Partial Derivatives In Exercises 1-14, find the first partial derivatives. See

f ( x , y ) = x 2 + y 2

To determine

To calculate: The first partial derivatives for the function f(x,y)=x2+y2.

Explanation

Given information:

The provided function is f(x,y)=x2+y2.

Formula used:

Consider the function z=f(x,y) then for the value of ∂z∂x consider y to be constant and differentiate with respect to x and the value of ∂z∂y consider x to be constant and differentiate with respect to y.

Calculation:

Consider the provided function is,

f(x,y)=x2+y2

Partially derivative of the function f(x,y)=x2+y2 with respect to x.

fx(x,y)=∂∂x(x2+y2)=12(x2+y2)−12(2x)=xx2+y2

Partially derivative of the function f(x,y)=x2+y2 with respect to y

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Sect-7.1 P-1CPSect-7.1 P-2CPSect-7.1 P-3CPSect-7.1 P-4CPSect-7.1 P-5CPSect-7.1 P-6CPSect-7.1 P-7CPSect-7.1 P-1SWUSect-7.1 P-2SWUSect-7.1 P-3SWU
Sect-7.1 P-4SWUSect-7.1 P-5SWUSect-7.1 P-6SWUSect-7.1 P-7SWUSect-7.1 P-8SWUSect-7.1 P-1ESect-7.1 P-2ESect-7.1 P-3ESect-7.1 P-4ESect-7.1 P-5ESect-7.1 P-6ESect-7.1 P-7ESect-7.1 P-8ESect-7.1 P-9ESect-7.1 P-10ESect-7.1 P-11ESect-7.1 P-12ESect-7.1 P-13ESect-7.1 P-14ESect-7.1 P-15ESect-7.1 P-16ESect-7.1 P-17ESect-7.1 P-18ESect-7.1 P-19ESect-7.1 P-20ESect-7.1 P-21ESect-7.1 P-22ESect-7.1 P-23ESect-7.1 P-24ESect-7.1 P-25ESect-7.1 P-26ESect-7.1 P-27ESect-7.1 P-28ESect-7.1 P-29ESect-7.1 P-30ESect-7.1 P-31ESect-7.1 P-32ESect-7.1 P-33ESect-7.1 P-34ESect-7.1 P-35ESect-7.1 P-36ESect-7.1 P-37ESect-7.1 P-38ESect-7.1 P-39ESect-7.1 P-40ESect-7.1 P-41ESect-7.1 P-42ESect-7.1 P-43ESect-7.1 P-44ESect-7.2 P-1CPSect-7.2 P-2CPSect-7.2 P-3CPSect-7.2 P-1SWUSect-7.2 P-2SWUSect-7.2 P-3SWUSect-7.2 P-4SWUSect-7.2 P-5SWUSect-7.2 P-6SWUSect-7.2 P-1ESect-7.2 P-2ESect-7.2 P-3ESect-7.2 P-4ESect-7.2 P-5ESect-7.2 P-6ESect-7.2 P-7ESect-7.2 P-8ESect-7.2 P-9ESect-7.2 P-10ESect-7.2 P-11ESect-7.2 P-12ESect-7.2 P-13ESect-7.2 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Mathematical Applications for the Management, Life, and Social Sciences

Convert each expression in Exercises 25-50 into its technology formula equivalent as in the table in the text. ...

Finite Mathematics

For Problems 64-78, translate each English phrase into an algebraic expression and use n to represent the unkno...

Intermediate Algebra

Average Student Debt The following bar graph shows the average student debt in each graduating class from 2008 ...

Mathematical Excursions (MindTap Course List)

Evaluate the integral. 29. tan3xsec6xdx

Single Variable Calculus: Early Transcendentals

A rectangle has dimensions of 6in. by 3 in. Find the exact volume of the solid of revolution formed when the re...

Elementary Geometry For College Students, 7e

Find the prime factorization of each number (use divisibility tests where helpful): 105

Elementary Technical Mathematics

Let G= a be a cyclic group of order 24. List all elements having each of the following orders in G. a. 2 b. 3 ...

Elements Of Modern Algebra

For the following statements, underline the key words and translate into expressions. 40 more than 34 of B

Contemporary Mathematics for Business & Consumers

Solve for if 0360. 3sin+cos=3

Trigonometry (MindTap Course List)

Exploring a Relationship In Exercises 85 and 86, verify that f(x)=g(x) and explain the relationship between f a...

Calculus: Early Transcendental Functions (MindTap Course List)

Finding the Interval of Convergence In Exercises 1538, find the Interval of convergence of the power series. (B...

Calculus of a Single Variable

In Exercises 11 and12, make drawings as needed. Suppose that for ABC and MNQ, you know that AM and BN. Explain ...

Elementary Geometry for College Students

DEMAND FORWASHABLE COMPUTER KEYBOARDS The demand equation for the Wikinson washable keyboard is p=0.02x+80 wher...

Finite Mathematics for the Managerial, Life, and Social Sciences

Finding an Inverse Function In Exercises 35-46, (a) find the inverse function of f, (b) graph f and f1 on the s...

Calculus

Classifying a TriangleIn Exercises 2730, the vertices of triangle are given. Determine whether the triangle is ...

Calculus (MindTap Course List)

Sometimes, Always, or Never: If an ≥ bn ≥ 0 for all n and {bn} diverges, then {an} diverges.

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

Finding an Equation of a PlaneIn Exercises 4556, find an equation of the plane with the given characteristics. ...

Multivariable Calculus

Which is the best graph of r = 1 − sin θ for 0 ≤ θ ≤ π?

Study Guide for Stewart's Multivariable Calculus, 8th

Describe the three primary techniques for controlling extraneous variables (holding constant, matching, and ran...

Research Methods for the Behavioral Sciences (MindTap Course List)

In each of the following exercises, the value on the left must be multiplied by one of the following numbers: 0...

Mathematics For Machine Technology

The 10 most active stocks on the New York Stock Exchange on March 6, 2006, are shown here (The Wall Street Jour...

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

Self Check Factor: 6x2x2.

College Algebra (MindTap Course List)

The article Cops Get Screened for Digital Dirt (USA TODAY, November 12, 2010) summarizes a report of law enforc...

Introduction To Statistics And Data Analysis

Describe how the cliche You can lead a horse to water, but you cant make it drink can be used to explain a pers...

Research Methods for the Behavioral Sciences (MindTap Course List)

The following estimated regression equation was developed for a model involving two independent variables. = 4...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

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