3. Sin(x+y) = (OS X. +. Cosy)) Cidly dx600)

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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Hello, I am having trouble with a calculus problem about implicit differentiation. I am not sure how to differentiate Sin(x+y). I have attached my work and the solution to the question. Thank you for your time.

13. y'
cos (x + y) + sin x
cos (x + y) + sin y
2e" + ve*
y
Transcribed Image Text:13. y' cos (x + y) + sin x cos (x + y) + sin y 2e" + ve* y
ΔΔΔΔΔΔΔΔΔΔ
sing
-Siny +3
x
-Siny +3
D|13. Sin(x+y) = (OS X. + Cosy))
Sinx + f(x)) = (Cosx + COS F(x)
Cos ( 1 + f²) = -Sinx - Sinflx) f'(x)
COS (11)
+ Sing film
+ Smyril
(x2
3-Siny
y = f(x) implicitly
110=C
Transcribed Image Text:ΔΔΔΔΔΔΔΔΔΔ sing -Siny +3 x -Siny +3 D|13. Sin(x+y) = (OS X. + Cosy)) Sinx + f(x)) = (Cosx + COS F(x) Cos ( 1 + f²) = -Sinx - Sinflx) f'(x) COS (11) + Sing film + Smyril (x2 3-Siny y = f(x) implicitly 110=C
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