Implicit Differentiation

Question

Find an expression for $$\frac{dy}{dx}$$ by implicitly differentiating the equation $$x^2+y^2+2\sqrt{xy}=10$$.

Accepted Answer

$$\frac{dy}{dx}=\frac{-2*x-\frac{y}{\sqrt{x*y}}}{2*y+\frac{x}{\sqrt{x*y}}}$$

Answer

$$\frac{dy}{dx}=\frac{-2*x+\frac{y}{\sqrt{x*y}}}{2*y-\frac{x}{\sqrt{x*y}}}$$

Answer

$$\frac{dy}{dx}=\frac{2*x+\frac{y}{\sqrt{x*y}}}{2*y+\frac{x}{\sqrt{x*y}}}$$

Answer

$$\frac{dy}{dx}=-\frac{2*x+\frac{y}{\sqrt{x*y}}}{2*y+\frac{x}{\sqrt{x*y}}}$$

Rank	User	Correct Count	Attempt Count	Total Time	Score
#1	bezginaanfisa	2	2	0m 00s	200
#2	dpaak0903	2	2	0m 00s	200
#3	aurorachris0601	1	1	0m 00s	100
#4	kookiepow28	1	1	0m 13s	87
#5	amirzankasybaj	1	1	1m 44s	-4
#6	o47875	1	2	3m 20s	-110

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