Use the implicit function theorem; dz/dx = -Fpartialx/Fpartialz to find dz/dx and dz/dy   ln(2x^3+2y^6+3z^5)=14+12xyz

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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Use the implicit function theorem; dz/dx = -Fpartialx/Fpartialz to find dz/dx and dz/dy

 

ln(2x^3+2y^6+3z^5)=14+12xyz

Expert Solution
Step 1

Given expression: ln(2x3+2y6+3z5)= 14+12xyz

Let f(x,y,z) = ln(2x3+2y6+3z5)- 14-12xyz

We know that 

dzdx = -xFzF and  dzdy = -yFzF

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