11481
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Tangent Line Using Many Different Limit Configurations
The tangent line to the graph of
at
is the limiting position of the secant lines through the two points
and
as
, for any constants
.
Contributed by:
Soledad María Sáez Martínez
and
Félix Martínez de la Rosa
THINGS TO TRY
Rotate and Zoom in 3D
Gamepad Controls
SNAPSHOTS
DETAILS
Reference: W. A. Simpson, "An Illuminating Generalization of the Definition of the Derivative,"
International Journal of Mathematical Education in Science and Technology
,
24
(1), 1993 pp. 152–156.
RELATED LINKS
Derivative
(
Wolfram
MathWorld
)
Limit
(
Wolfram
MathWorld
)
Tangent Line
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Tangent Line Using Many Different Limit Configurations
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TangentLineUsingManyDifferentLimitConfigurations/
Contributed by:
Soledad María Sáez Martínez
and
Félix Martínez de la Rosa
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Two Tangent Lines to a Parabola
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
The Tangent Line Problem
Samuel Leung and Michael Largey
Finding a Tangent Line to a Parabola
Jon Mormino
Secant and Tangent Lines
Joshua Fritz, Angela Sharp, and Chad Pierson
Using the Area under a Curve to Compute a Limit
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Tangent Lines to Exponential and Logarithmic Functions through the Origin
Soledad María Sáez Martínez and Félix Martínez de la Rosa
Tangent ODE Chase
Michael Trott
Tangent to a Catenary
Izidor Hafner
Tangent to a Surface
Jeff Bryant and Yu-Sung Chang
Quadratics Tangent to a Cubic
Robert L. Brown
Related Topics
Calculus
High School Calculus and Analytic Geometry
High School Mathematics
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+