Question 14.2 Section 14.1 Progress Check Question 2 Calculate the partial derivative fyzzz(r, y, z), where f(z,y, z) = e +3z cos(zy+1) + zyz". fyz:(2, y, z) =

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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12z'w
We conclude that
12z w.
=GozzI
%3D
Question 14.2 Section 14.1 Progress Check Question 2
Calculate the partial derivative fyzzz(z, y, z), where f(z, y, z) =
fyz:(z, y, 2) =
+3z cos(zy+1) + zyz".
Submit
example 6
Let
z = f(r, y) = e" sin ry
and write I =
g(s, t), y- h(s, t) for certain functions g and h. Let
k(s, t) – f(g(s, t), h(s, t)).
Calculate kt.
solution
By the chain rule.
f-g. 4 f,h,- (e" sin zy + ye" cos zy)g, + (re cos ry)h,.
Diorentiating in tusing the product rules gIves
Transcribed Image Text:12z'w We conclude that 12z w. =GozzI %3D Question 14.2 Section 14.1 Progress Check Question 2 Calculate the partial derivative fyzzz(z, y, z), where f(z, y, z) = fyz:(z, y, 2) = +3z cos(zy+1) + zyz". Submit example 6 Let z = f(r, y) = e" sin ry and write I = g(s, t), y- h(s, t) for certain functions g and h. Let k(s, t) – f(g(s, t), h(s, t)). Calculate kt. solution By the chain rule. f-g. 4 f,h,- (e" sin zy + ye" cos zy)g, + (re cos ry)h,. Diorentiating in tusing the product rules gIves
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