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Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643

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BuyFindarrow_forward

Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643
Textbook Problem

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.

11. If f(x, y) = sin x + sin y, then 2 D u f ( x , y ) 2 .

To determine

Whether the statement, “If f(x,y)=sinx+siny , then 2Duf(x,y)2 ” is true or false.

Explanation

Compute the value of f(x,y) is as follows.

f(x,y)=fx,fy=fx(sinx+siny),fy(sinx+siny)=(cosx+0),(0+cosy)=cosx,cosy

Thus, the value of f(x,y) is cosx,cosy .

Obtain |Duf(x,y,z)| as follows

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Chapter 14 Solutions

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