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  3. ZuAI AP College Board Calculus AB/BC
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Exploring Behaviors of Implicit Relations

Hannah Hill

Hannah Hill

9 min read

Next Topic - Integration and Accumulation of Change
Study Guide Overview

This study guide covers implicit functions and their behavior using derivatives. It explains how to find critical points using the first derivative and determine if they are maxima or minima. Additionally, it shows how to analyze concavity and inflection points with the second derivative. The guide also provides practice problems involving related rates and implicit differentiation.

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Previous Topic - Solving Optimization ProblemsNext Topic - Integration and Accumulation of Change

Question 1 of 12

Which of the following equations represents an implicit function? 🤔

y=3x2+2x−1y = 3x^2 + 2x - 1y=3x2+2x−1

x2+y2=9x^2 + y^2 = 9x2+y2=9

y=sin⁡(x)y = \sin(x)y=sin(x)

y=x+2x−1y = \frac{x+2}{x-1}y=x−1x+2​