LESSON NOTES MENU
Calculus IV
15.Functions of Several Variables
16.Multiple Integration
17.Vector Analysis
S = contains supplemental resources
Course: Calculus I
Topic: Derivatives
Subtopic: Implicit Differentiation

Overview

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 xy3=sin(x2y). To differentiate these equations requires a process called implicit differentiation which is the focus of today's lesson.

Objectives

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

Terminology

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.

Supplemental Resources (optional)

Video: Implicit Differentiation, Selwyn Hollis's Video Calculus

Lesson: Implicit Differentiation, Dale Hoffman's Contemporary Calculus