af AMPLE 3 If f(x, y) = sin). calculate and 5 + y ax LUTION Using the Chain Rule for functions of one variabl 3x 5 +y af a(_3x ax\5 + y ax ])) af a 3x ay5 + y. ду

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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af
= sin(), calculate
af
and
ду
3x
EXAMPLE 3 If f(x, y) = sin-
5 + y
ax
SOLUTION Using the Chain Rule for functions of one variable, we have
af
3x
a (_3x
ax\5 + y.
ax
5 +y
af
a
3x
ду
ay5 + y
Transcribed Image Text:af = sin(), calculate af and ду 3x EXAMPLE 3 If f(x, y) = sin- 5 + y ax SOLUTION Using the Chain Rule for functions of one variable, we have af 3x a (_3x ax\5 + y. ax 5 +y af a 3x ду ay5 + y
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