Terms From Implicit Differentiation

Question

Consider the curve defined by the equation $$x^3+y^3-3xy=0$$. After applying implicit differentiation with respect to $$x$$, the resulting equation is $$3x^2 + 3y^2\frac{dy}{dx} - 3\left(y + x\frac{dy}{dx}\right) = 0$$. Which of the following correctly lists the terms of this equation after the expression is fully expanded?

Accepted Answer

3*x^2, 3*y^2*(dy/dx), -3*y, -3*x*(dy/dx)

Answer

3*y^2*(dy/dx), 3*x^2, -3*y, -3*x*(dy/dx)

Answer

3*x^2, 3*y^2*(dy/dx), -3*x*(dy/dx), -3*y

Answer

3*x^2, -3*y, 3*y^2*(dy/dx), -3*x*(dy/dx)

Rank	User	Correct Count	Attempt Count	Total Time	Score
#1	haneesh19.12	2	2	0m 00s	200
#2	bezginaanfisa	2	2	0m 00s	200
#3	loofee1236	0	2	0m 00s	-20
#4	laikevin0323	0	1	15m 17s	-927

Terms From Implicit Differentiation

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