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Behaviors of Implicit Relations

David Brown

David Brown

5 min read

Study Guide Overview

This study guide covers second derivatives of implicit functions. It starts with the fundamentals of implicit differentiation and proceeds to the steps for finding the second derivative. It includes a worked example, practice questions, and a glossary of terms like implicit differentiation, quotient rule, and chain rule. Finally, it offers a summary of key takeaways and exam strategies.

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Question 1 of 6

Alright, let's warm up! 🚀 Given the implicit equation x2+y2=25x^2 + y^2 = 25, what is dydx\frac{dy}{dx}?

xy\frac{x}{y}

−xy-\frac{x}{y}

yx\frac{y}{x}

−yx-\frac{y}{x}