Further Links
Contact Us
Search
Help
Syllabus
|
Exams
|
Teachers
|
Students
|
News
|
Communications
Mathematics
Home
>
Mathematics
>
Mathematics
> Tangent to the Curve
Resources
Approximation for tangent at a point
An animated presentation of the tangent line to a function. (MathView)
Definition of derivatives (Visicalc)
A synopsis with links to examples and discussion on the definition of derivatives.
Definition of tangent (Java)
A synopsis of the derivative of a function with links to discussions and visual examples.
Demonstation of tangent by zooming in
An animated presentation of approximating the slope of a tangent by zooming in at the point of contact.
Derivative surfer (applet)
Brilliant applet demonstrating the effect of 'surfing the waves' of a curve to generate derivative values and the resultant graph.
Differentials and differences
A synopsis with links to an animation presenting a tangent to a curve,
Differentiation Revision Test
Comprehensive multiple choice test, marked online
Differentiation formulae
A synopsis of the rules of differentiation with links to discussion pages and examples.
Drill questions for the chain rule (various functions)
A synopsis with a set of examples with links to discussion and drill questions.
Drill questions for the product rule (various functions)
A synopsis with a set of examples with links to discussion and drill questions.
Drill questions for the quotient rule (various functions)
A synopsis with a set of examples with links to discussion and drill questions.
Dynamic examination of slope
A graphical illustration of the approximation of the tangent of a function.
Evaluating limits
A quiz on limits with links to check the answer.
Example of application of chain rule
An interactive presentation of differentiation from first principles. (MathView)
Example of application of product rule
An interactive presentation of differentiation from first principles. (MathView)
Example of application of quotient rule
An interactive presentation of differentiation from first principles. (MathView)
Example of derivative of a sum
An interactive presentation of differentiation from first principles. (MathView)
Example of derivative of power rule
An interactive presentation of differentiation from first principles. (MathView)
Example of derivative of quadratic
An interactive presentation of differentiation from first principles. (MathView)
Example of derivative of quotient
An interactive presentation of differentiation from first principles. (MathView)
Example of derivative of radical
An interactive presentation of differentiation from first principles. (MathView)
Explore definition of continuity (piecewise function) with MathView
An animated demonstration of determining continuity of a function with links to explanations.
Gathering evidence of horizontal asymptote
A tabulated illustration of determining the horizontal asymptote with links to instructions for graphics calculators.
Horizontal asymptote
A graphical investigation of the limit of a function for varying values of coefficients. (MathView)
How the ball bounces
Three brilliant animations exploring the graphical representation of a bouncing ball (consider continuity & differentiability).
Introduction to limits
A synopsis with examples and links to exercises, drill questions and instructions for graphics calculators.
Introductory calculus (T/F quiz)
A series of twenty true/false questions with answers provided,
Limits
A page with links to summaries related to limits.
Limits of x, sin x, tan x
Applet which explores visually and numerically the relationship between x in radians, sin x and tan x as x-> 0.
Problems with graphing piecewise functions
An animated investigation of continuity of a point by using a MathView tool. (MathView)
Quiz on mixed derivative of functions (various functions)
A series of sixty questions on differentiation with a score provided at the end.
Quiz using definition of continuity
A series of seventy five questions on definition of continuity with a score provided at the end.
Rate of change
A selection of sample problems on the slope and the derivative.
Removable discontinuities
A presentation of step by step instructions to display composite functions on a graphics calculator.
Secant/Tangent Relationship
Excellent easy to use interactive applet
Summary of the derivative
A synopsis of Introductory Calculus with links to a tutorial.
Tangent as the limit of secants
An animated investigation of the construction of a tangent line. (MathView)
Tangents as introduction to derivatives
A synopsis of the topic with links to other demonstrations and discussion pages.
The limit of sinx/x
A synopsis of the topic with links to graphical demonstration of the limit.
Using the definition of tangent for fractional indices
An algebraic and graphical demonstration of function which is not differentiable at a point. (MathView)
Using the definition of tangent for quotient rule
A demonstration of finding a derivative from first principles. (MathView)
Using the definition of tangent for radicals
A demonstration of finding a derivative from first principles. (MathView)
Vertical asymptote
An animated presentation of the limiting value of a function as the value approaches the vertical aymptote. (MathView)
Visually finding a tangent
An animated presentation of instructions to find the tangent lines on a graphics calculator. (Flash)
Zooming in on a tangent (dynamic)
An animated demonstration of zooming in on a tangent at the point of contact.