1 min readβ’june 7, 2020

Jillian Holbrook

π₯**Watch: AP Calculus AB/BC - ****Implicit Derivatives**

Back in pre-calculus, you likely learned or talked about how there are two different types of equations: explicit equations and implicit equations.

An explicit equation is written such that y is isolated on one side.Β For example, y=2x+3 is an explicit equation. We know that for each value of x, there will only be one value of y.

First off, letβs review the notations we can use for derivatives:

There are three main steps to successfully differentiate an equation implicitly.

- Get the yβs isolated on one side
- Factor out yβ
- Isolate yβ

Letβs look at an example to apply these steps.Β Β

Youβll be a pro at implicitly differentiating in no time! Try the practice problems below and check them when youβre finished in the corresponding section at the end of this guide.

Browse Study Guides By Unit

πUnit 1 β Limits & Continuity

π€Unit 2 β Fundamentals of Differentiation

π€π½Unit 3 β Composite, Implicit, & Inverse Functions

πUnit 4 β Contextual Applications of Differentiation

β¨Unit 5 β Analytical Applications of Differentiation

π₯Unit 6 β Integration & Accumulation of Change

πUnit 7 β Differential Equations

πΆUnit 8 β Applications of Integration

π¦Unit 9 β Parametric Equations, Polar Coordinates, & Vector-Valued Functions (BC Only)

βΎUnit 10 β Infinite Sequences & Series (BC Only)

π§Multiple Choice Questions (MCQ)

βοΈFree Response Questions (FRQ)

πBig Reviews: Finals & Exam Prep

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