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  3. ZuAI AP College Board Maths 2020
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Implicit Differentiation

David Brown

David Brown

7 min read

Next Topic - Selecting Procedures for Calculating Derivatives
Study Guide Overview

This guide covers implicit functions and implicit differentiation. It explains how to differentiate equations involving both x and y using the chain rule, product rule, and quotient rule. It includes examples of finding derivatives at specific points and differentiating inverse functions implicitly. Practice questions and a glossary are also provided.

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Previous Topic - Higher-Order DerivativesNext Topic - Selecting Procedures for Calculating Derivatives

Question 1 of 8

Which of the following equations represents an implicit function? 🤔

y=5x3−2x+1y = 5x^3 - 2x + 1y=5x3−2x+1

x=2y2+3y−4x = 2y^2 + 3y - 4x=2y2+3y−4

x2+y2=16x^2 + y^2 = 16x2+y2=16

f(x)=4x−7f(x) = 4x - 7f(x)=4x−7