Let z = f(x,y) = 10x² − 4xy + 25y². Find the following using the formal definition of the partial derivative. - a. a. əz əz əx əz b. = b. əz af c. (5,-1) d. fy(5, – 5) əx of c. (5,-1)=(Simplify your answer.) ax d. f,(5,-5) = (Simplify your answer.)

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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Let z = f(x,y) = 10x² - 4xy + 25y². Find the following using the formal definition of the partial derivative.
dz
of
c. (5,-1) d. fy(5, – 5)
dy
a.
b.
a.
Əz
Əx
əz
əz
ax
b.
of
C. (5,-1)= (Simplify your answer.)
d. f,(5,-5)= (Simplify your answer.)
Transcribed Image Text:Let z = f(x,y) = 10x² - 4xy + 25y². Find the following using the formal definition of the partial derivative. dz of c. (5,-1) d. fy(5, – 5) dy a. b. a. Əz Əx əz əz ax b. of C. (5,-1)= (Simplify your answer.) d. f,(5,-5)= (Simplify your answer.)
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