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Calculus 1

Course: Calculus 1 > Unit 5

Lesson 12: Analyzing implicit relations
Math
Calculus 1
Analyzing functions
Analyzing implicit relations
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Tangents to graphs of implicit relations

AP.CALC: FUN‑4 (EU), FUN‑4.D (LO), FUN‑4.D.1 (EK), FUN‑4.E (LO), FUN‑4.E.1 (EK), FUN‑4.E.2 (EK)
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Problem

Consider the curve given by the equation x, y, squared, minus, x, cubed, y, equals, 8. It can be shown that start fraction, d, y, divided by, d, x, end fraction, equals, start fraction, 3, x, squared, y, minus, y, squared, divided by, 2, x, y, minus, x, cubed, end fraction.
Write the equation of the vertical line that is tangent to the curve.
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