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You are here: Home / Category Index / Differentiation
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Differentiation
Rates Of Change - By Lorna Reddin
User Chooses An Acceleration Button. The Car Moves With This Acceleration. It Stops When It Reaches A Maximum Speed. [View Applet]
Product Rule Of Differentiation. - By Conor Cassidy
Differential Calculus Mainly Involves
Measuring Rates Of Change When One Quantity Varies With Respect To Another.
By Now It Is Expected That You Know The Basic Rules Of Differentiation:
1. The Derivative Of A Constant Is Zero.
2.the Derivative Of X^n Is Nx^n-1.
3. If F(x) = K(x) +/- G(x),
Then F'(x) = K'(x) +/- G'(x). [View Applet]
Implicit Differentiation - By Ruaidhri O'Brien
This Applet Shows Users How To Do The Basic Forms
Of Implicit Differentiation.also It Shows Them How
To Get The Slope Of A Curve Or A Tangent At A
Point They Desire In Two Easy To Use Examples. [View Applet]
Chain Rule - By Aoileann Nic Aogain
This Applet Demonstrates The Chain Rule Of Differentiation. The Applet Allows The User To Enter The Values Of The Problem, It Gives The Solution And Then Explains How The Solution Is Found. [View Applet]
The Applications Of Newtonraphson - By Caitriona Rooney
There Are Six Boxes:
Four For The Coefficients Of The Cubic Equation.
One Where The User Enters X, As In Where To Start Newtonraphson Calculations.
One Where The User Enters What He/she Wants To Find The Square Root Of.
There Is A Grid On Which A Graph Of The Cubic Equation Is Drawn When The "draw Graph" Button Is Pressed.
There Are Two Buttons Which When Pressed An Answer Is Produced:
One Is A "get Root Of Cubic Equation" Button.
One Is A "calculate The Square Root" Button.
Both Answers Are Produced Using Newtonraphson Formula. [View Applet]
Illustrating Differentiation - By Robin Scheffel
You Bought A New Car. Now, You Want To Know The Distance You Can Drive In The First 5 Seconds. Since Your Car Accellerates, You Want To Know Also The Distance You Can Drive In The Second 5 Seconds Etc. Is The Accelleration Higher In The First 5 Seconds Or In The Second 5 Seconds? If You Drive At A Speed Of 70mph, How Much Is Your Car Likely To Accellerate? [View Applet]
Limits Of Functions - By Ciaran Mandal
An Applet To Calculate Limits Of Functions After The Function And The Value For What X Tends To Is Input By The User. [View Applet]
Quotient Rule - By Suzanne Monnelly
In My Applet,the User Can Enter Values From The Values From An Expression In The Form U/v,and The Differential Of It Will Be Calculated Using The Quotient Rule [View Applet]
Parametric Differentiation - By Maria Moran
A Parametric Equation Is One Where X And Y Are Expressed Using A Third Variable, In Our Case 't'. This Third Variable Is Known As A Parameter .
To Find The Differential Of Equations X And Y When They Are Expressed In Terms Of 't', We First Need To Differentiate X With Respect To T (dx/dt) , And Then Differentiate Y With Respect To T (dy/dt) .
Having Deduced The (dx/dt) And (dy/dt) We Can Calculate (dy/dx) By Using The Chain Rule: [View Applet]
Idea Of Differentiation And Differentiation From First Principles - By Lucinda Longmore
The Applet Contains Seven Consecutive Pages.the First Two Pages Give A Brief Description Of The Use Of Differentiation For Getting The Slope Of A Curve. The Next Fives Pages Go Through A Simple Example Of Differentiation From First Principles In Four Stages With The User Picking The Coefficients Of X. [View Applet]
Newton Raphson Explanation Of Principles/how It Works - By Miriam Aylward
This Applet Explains The Concept Of The Newton-raphson Method.it Explains Where It Originates From And Hoew To Use It.also There Are Practical Examples Using The Past Leaving Cert Questions. [View Applet]
Finding The Volume Of The Rotation Of A Line Or Curve About The X-axis - By Paul Biggar
This Applet Finds The Volume Of The Rotation Of A Line About The X-axis. A Line Or Curve Is Plotted According To Its Equation, And Begins To Rotate Around The X-axis. It's Volume Can Be Found By Integration. [View Applet]
Differentiation from First Principles of Trigonometric Functions - By Laura Redmond
This applet demonstrates, graphically, how Sinx/x tends to 1 as x tends to zero. This gives rise to the result,Lim Sin x/x = 1 x->0,which is frequently used in differentiating trig functions from first principles. [View Applet]
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