   Chapter 7.4, Problem 4E ### 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   = 4 x y 2 -   x 2 y 3  + 7

To determine

To calculate: The first partial derivatives for the function z=4xy2x2y3+7.

Explanation

Given information:

The provided function is z=4xy2x2y3+7.

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=4xy2x2y3+7

Partially derivative of the function z=4xy2x2y3+7 with respect to x.

zx=x(4xy2x2y3+7)=4y2x(x)y3x(x2)+x(7)=4y22xy3

Partially derivative of the function z=4xy2x2y3+7 with respect to y

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