Find the total differential of the function z = y³x³ + 15y + 14. dz = Now calculate Az and dz for x = -2, y = 4, and f(-2.01, 3.97). Enter Az and dz without rounding off. Also show the work requested below. Az = f( ) − ƒ( ) ≈ [ dx = dz = fz( and dy = ) dx + fy( SO )dy =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the total differential of the function z = y³x³ + 15y + 14.
dz =
Now calculate Az and dz for x = -2, y = 4, and f(-2.01, 3.97).
Enter Az and dz without rounding off.
Also show the work requested below.
Az = f( ) − ƒ( ) ≈ [
dx =
dz = fz(
and dy
=
) dx + fy(
SO
)dy
=
Transcribed Image Text:Find the total differential of the function z = y³x³ + 15y + 14. dz = Now calculate Az and dz for x = -2, y = 4, and f(-2.01, 3.97). Enter Az and dz without rounding off. Also show the work requested below. Az = f( ) − ƒ( ) ≈ [ dx = dz = fz( and dy = ) dx + fy( SO )dy =
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