For the function f(x,y) = 2x* - 2y* - 11, find of of and of of II

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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of
and
dx
of
For the function f(x,y) = 2x* - 2y* – 11, find
dy
of
dx
of
dy
II
Transcribed Image Text:of and dx of For the function f(x,y) = 2x* - 2y* – 11, find dy of dx of dy II
Expert Solution
Step 1

Solution ) f(x,y) = 2x4 - 2y4 - 11

Partially differential with respect to x

fx  = 2 × 4 × x4-1 - 0 - 0

   [        axnx= a ×n × xn-1 ]

         = 8x3

fx = 8x3

Partially differentiation with respect to y

fy = 0 - 2 × 4 × y4-1 -  0

        =  - 8 y3

 

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