Course: Calculus I
Topic: Derivatives
Subtopic: Implicit Differentiation


An implicit equation is one where there are x's and y's on both sides of the equation usually so intermingled that it is difficult to isolate the y, for example `xy^3=sin(x^2y)`. To differentiate these equations requires a process called implicit differentiation which is the focus of today's lesson.


By the end of this topic you should know and be prepared to be tested on:


Terms you should be able to define: implicit equation, explicit equation, implicit differentiation

Text Notes

This is an important section to get down well especially before we move into related rate applications which require implicit differentiation to solve.

Mini-Lectures and Examples

STUDY: Implicit Differentiation

Supplemental Resources (optional)

Video: Implicit Differentiation, Selwyn Hollis's Video Calculus

Lesson: Implicit Differentiation, Dale Hoffman's Contemporary Calculus

rev. 2020-10-10