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
X
X
X
Show Source Code
|
Download Source Code Notebook
Show Initialization Code
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.
Derivative
(
Wolfram
MathWorld
)
Limit
(
Wolfram
MathWorld
)
Tangent Line
(
Wolfram
MathWorld
)
"
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
Calculus
High School Calculus
Secant and Tangent Lines
Tangent Lines to Exponential and Logarithmic Functions through the Origin
Fermat's Theorem on Stationary Points
Approximating the Derivative by the Symmetric Difference Quotient
The Definition of the Derivative
Infinite Limit at Infinity
Finite Limit at Infinity
Tangent to a Curve
Limit of a Family of Curves
Infinite Limit at a Finite Point
Make a new version of this Demonstration
Upload a new Demonstration
Contact The Wolfram Demonstrations Project Team
Site Index
Wolfram Research
© 2008
The Wolfram Demonstrations Project & Contributors
Terms of Use
Privacy Policy
RSS
Atom
