   Chapter 7.4, Problem 31E ### 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 29-32, find the first partial derivatives with respect to x ,   y , and  z . See Example 5. w   =   2 z x   +   y

To determine

To calculate: The first partial derivatives with respect to x,y and z for the function w=2zx+y.

Explanation

Given information:

The provided function is w=2zx+y.

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,

w=2zx+y

Partially derivative of the function w=2zx+y with respect to x.

wx=x(2zx+y)=2zx(x+y)1=2z(x+y)21=2z(x+y)2

Partially derivative of the function w=2zx+y with respect to y

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