A heart-shaped graph in a 2D plane is defined by the equation (x² + y² - 1)³= 4x²y³ Determine dy/dx by implicit differentiation. O y = 3 . O y' y 3(x²+y²-1)²-4y³ (x²+y²-1)²-2r²y = 62²y²-3y(x² + y² −1)² 3x(x²+y²-1)²-4xy³ O y'= 6x(x² + y² - 1)² - 8xy³ O y' = 6x(x²+y²-1)² +8ry³ 12x²y²-6y(x²+y²-1)²
A heart-shaped graph in a 2D plane is defined by the equation (x² + y² - 1)³= 4x²y³ Determine dy/dx by implicit differentiation. O y = 3 . O y' y 3(x²+y²-1)²-4y³ (x²+y²-1)²-2r²y = 62²y²-3y(x² + y² −1)² 3x(x²+y²-1)²-4xy³ O y'= 6x(x² + y² - 1)² - 8xy³ O y' = 6x(x²+y²-1)² +8ry³ 12x²y²-6y(x²+y²-1)²
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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![Question 14
A heart-shaped graph in a 2D plane is defined by the equation
(x² + y² - 1)³ = 4x²y³
Determine dy/dx by implicit differentiation.
y' =
O
-x
3y
.
6r²y²-3y(r²+y²-1)²
3x(x² + y²-1)²-4xy³
O y = 6x(x² + y² - 1)² - 8xy³
Oy' =
< Previous
3(x² + y²-1)²-4y³
(x² + y²-1)²-2r²y
6x(x²+y²-1)² +8ry³
12x²y²-6y(x² + y²-1)²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F36d432da-4a3c-493f-8c85-3ec31e275ee7%2F6e9bcbbe-298f-4fa8-a6ad-3e5fea23d6c6%2Foml707r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 14
A heart-shaped graph in a 2D plane is defined by the equation
(x² + y² - 1)³ = 4x²y³
Determine dy/dx by implicit differentiation.
y' =
O
-x
3y
.
6r²y²-3y(r²+y²-1)²
3x(x² + y²-1)²-4xy³
O y = 6x(x² + y² - 1)² - 8xy³
Oy' =
< Previous
3(x² + y²-1)²-4y³
(x² + y²-1)²-2r²y
6x(x²+y²-1)² +8ry³
12x²y²-6y(x² + y²-1)²
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