   Chapter 7.4, Problem 10E ### 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 z   =  x e x   +   y

To determine

To calculate: The first partial derivatives for the function z=xex+y.

Explanation

Given information:

The provided function is z=xex+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,

z=xex+y

Partially derivative of the function z=xex+y with respect to x.

zx=x(xex+y)=xx(ex+y)+ex+yx(x)=x(ex+y)(1

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