   Chapter 7.4, Problem 1CP ### 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
1 views

# Find ∂ z / ∂ x and ∂ z / ∂ y for z = 2 x 2 − 4 x 2 y 3 + y 4 .

To determine

To calculate: The value zx and zy for the function z=2x24x2y3+y4.

Explanation

Given information:

The provided function is z=2x24x2y3+y4.

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=2x24x2y3+y4

Partially derivative of the function z=2x24x2y3+y4 with respect to x.

zx=x(2x24x2y3+y4)=2x(x2)4y3x(x2)+y4x(1)=22x4y32x=4x8xy3

Partially derivative of the function z=2x24x2y3+y4 with respect to y

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