Find the derivative of y with respect to x using implicit differentiation in the equation *'y = In(x+y).

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...
Question
Find the derivative of y with respect to x using implicit differentiation in the equation **y = In(x+y).
1– 3x3y – 3x?y2
y'
A
x4 + x³y
- 1
3x4 + 2x³y
- 1
В
y' =
1– 2r³y – 3x²y²
1- 3x³y +2x?y²
- 2x4 - x3y – 1
- 2x4 - 3x3y – 1
y'=
1+3x³y +2x?y?
Transcribed Image Text:Find the derivative of y with respect to x using implicit differentiation in the equation **y = In(x+y). 1– 3x3y – 3x?y2 y' A x4 + x³y - 1 3x4 + 2x³y - 1 В y' = 1– 2r³y – 3x²y² 1- 3x³y +2x?y² - 2x4 - x3y – 1 - 2x4 - 3x3y – 1 y'= 1+3x³y +2x?y?
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