   Chapter 7.4, Problem 11E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### 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 g ( x ,   y )  = ln  ( x 2   +   y 2 )

To determine

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

Explanation

Given information:

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

Formula used:

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

Calculation:

Consider the provided function is,

g(x,y)=ln(x2+y2)

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

gx(x,y)=x(ln(x2+y2))=1(x2+y2)(2x)=2x(x2+y2)

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

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