Lesson Plan
Curated OER

Implicit Differentiation

For Teachers 9th - 12th Standards
Pupils explore the concept of derivatives. They use implicit differentiation to determine points on a graph where a tangent line is horizontal, vertical, or oblique. Finally, learners find the derivative of a polynomial by...
Lesson Plan
Curated OER

Related Robots

For Teachers 9th - 11th
Students solve problems using implicit differentiation. In this calculus instructional activity, students take the derivative to calculate the rate of change. They observe two robots and draw conclusion from the data collected on the two...
Worksheet
Curated OER

Higher Order Differentiation and Implicit Differentiation

For Students 9th - Higher Ed
In this differentiation worksheet, students calculate the first and second order derivatives and use implicit differentiation to solve 4 questions with multiple parts.
Lesson Plan
Curated OER

Implicit Differentiation

For Teachers 11th - 12th
Students implicitly differentiate functions .  In this implicitly differentiating functions lesson, students take the derivative of functions that cannot be solved for a variable.  Students find the derivative of an equation...
Website
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Implicit Differentiation

For Students 9th - 10th
This Northeast Parallel Architectures Center at Syracuse University site includes a table of contents that contains information and examples on the topic of implicit differentiation.
Activity
University of California

University of California: Implicit Differentiation

For Students 9th - 10th
Detailed site on implicit differentiation. Site contains good explanations and several examples that can be worked and checked.
Unknown Type
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Derivatives

For Students 9th - 10th
Hotmath provides 26 practice problems dealing with derivatives and their graphs. Each of the practice problems include a step-by-step guide for solving their derivative.
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: Implicit Orbits

For Teachers 9th - 10th
Based off of the hit television show NUMB3RS, this lesson describes what would happen to various satellites if their planets vanished. Implicit differentiation is used to determine the tangent to each satellite's orbit, which is the path...
Activity
Texas Instruments

Texas Instruments: Implicit Differentiation on the Ti 89

For Teachers 9th - 10th
This activity demonstrates implicit differentiation on the graphing calculator.
Activity
Texas Instruments

Texas Instruments: Implicit Differentiation

For Teachers 9th - 10th
In this activity, students can use the graphing calculator to find the derivative of an implicitly defined function.
Activity
Texas Instruments

Texas Instruments: Differentiation

For Teachers 9th - 10th
In this activity, students explore estimated and exact results for derivatives, tangent lines, implicit differentiation, and symbolic differentiation.
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Topic Summaries: Techniques of Differentiation

For Students 9th - 10th
The topic summary outlines techniques of differentiation. Some topics reviewed are product rule, quotient rule, chain rule, and implicit differentiation. The resource consists of definitions, notes, and examples.
Activity
Texas Instruments

Texas Instruments: Implicit Differentiation

For Teachers 9th - 10th
This learning check activity will test the students understanding of implicit differentiation.
Activity
Texas Instruments

Texas Instruments: Implicit Differentiation

For Teachers 9th - 10th
Students differentiate an equation in two variables with respect to one. They calculate points where the tangent line is horizontal, vertical, or oblique and use the graphing capacity of the TI-89 to display the graph of the implicit...
Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Proof of Various Derivative Properties

For Students 9th - 10th
The tutorial examines various derivative facts, formulas, and properties. Topics discussed are the definition of derivative, implicit differentiation, logarithmic differentiation, chain rule, and power rule. Class notes, proofs, and...
Activity
Analyze Math

Analyze Math: Implicit Differentiation

For Students 9th - 10th
The tutorial explores implicit differentiation. Examples and practice exercises with solutions are included.
Activity
Lawrence Hall of Science

The Math Page: An Approach to Calculus: More Rules for Derivatives

For Students 9th - 10th
Here is a site that clearly and thoroughly explains the quotient rule, implicit differentiation, and derivatives of inverse functions. There are example problems solved, problems for the student to attempt, and answers to the student...
Article
Other

Jiskha Homework Help: Math Calculus

For Students 9th - 10th
Jiskha.com offers help with your calculus homework. Use the find button to locate the subject you are interested in. This will take you to the correct link.
Activity
Interactive Mathematics

Interactive Mathematics: Differentiation of Implicit Functions

For Students 9th - 10th
Several examples are presented to illustrate implicit differentiation for functions where it is difficult to solve for y.