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12 cards from this deck
A technique to find the derivative when yyy is not explicitly solved for xxx
When yyy is not isolated on one side of equation
Differentiate both sides with respect to xxx, treating yyy as a function of xxx
Treat yyy as a function of xxx
Chain rule: rac{d}{dx} y = rac{dy}{dx}
Collect terms with rac{dy}{dx} on one side
Solve for rac{dy}{dx}
rac{dy}{dx} = rac{-x}{y}
2x + 2y rac{dy}{dx} = 0
rac{dy}{dx} = rac{6y - 3x^2}{3y^2 - 6x}
6(x rac{dy}{dx} + y) using product rule
A circle
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