10776
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Napier's Inequality (I)
Napier's inequality: If
, then
.
Observe that in the graphic,
, the slope of the secant line passing through
and
, is between the slopes of the tangent lines at
and
.
Contributed by:
Soledad Mª Sáez Martínez
and
Félix Martínez de la Rosa
THINGS TO TRY
Rotate and Zoom in 3D
Gamepad Controls
SNAPSHOTS
DETAILS
Reference: R. Nelsen, "Napier's Inequality (Two Proofs),"
The College Mathematics Journal
,
24
(2), 1993 p. 165.
RELATED LINKS
Napier's Inequality
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Napier's Inequality (I)
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/NapiersInequalityI/
Contributed by:
Soledad Mª 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
Napier's Inequality (II)
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
The Arithmetic-Logarithmic-Geometric Mean Inequality
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Bernoulli Inequality
Chris Boucher
The Triangle Inequality
Chris Boucher
Young's Inequality
Ken Levasseur
The Arithmetic-Geometric Mean Inequality (I)
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
The Arithmetic-Geometric Mean Inequality (III)
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
The Arithmetic-Geometric Mean Inequality (II)
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Weitzenböck's Inequality
Jay Warendorff
Chebyshev's Inequality
Craig Bauling
Related Topics
Calculus
Inequalities
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+