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  3. ZuAI AP College Board Calculus AB/BC
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Implicit Differentiation

Benjamin Wright

Benjamin Wright

7 min read

Next Topic - Differentiating Inverse Functions
Study Guide Overview

This guide covers implicit differentiation, focusing on how to find racdydxrac{dy}{dx}racdydx when y is not explicitly defined in terms of x. It outlines the steps for implicit differentiation, including using the chain rule and product rule. The guide provides examples, practice problems involving tangent lines, and common mistakes to avoid. Finally, it offers exam tips and strategies, highlighting high-priority topics like combining implicit differentiation with related rates problems.

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Previous Topic - The Chain RuleNext Topic - Differentiating Inverse Functions

Question 1 of 7

Given the equation x2+y2=25x^2 + y^2 = 25x2+y2=25, find dydx\frac{dy}{dx}dxdy​. 🚀

dydx=xy\frac{dy}{dx} = \frac{x}{y}dxdy​=yx​

dydx=−xy\frac{dy}{dx} = -\frac{x}{y}dxdy​=−yx​

dydx=yx\frac{dy}{dx} = \frac{y}{x}dxdy​=xy​

dydx=−yx\frac{dy}{dx} = -\frac{y}{x}dxdy​=−xy​