10680
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
The Derivative of
a
to the Power
x
For the function
, there is a special value of the base
for which
. This "special
" is the number for which the slope of the graph of
at
is 1. So, what is the "special
"? Do you recognize it?
Contributed by:
Jerry Stanbrough
THINGS TO TRY
Slider Zoom
Automatic Animation
SNAPSHOTS
RELATED LINKS
Exponential Function
(
Wolfram
MathWorld
)
Derivative
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
The Derivative of
a
to the Power
x
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheDerivativeOfAToThePowerX/
Contributed by:
Jerry Stanbrough
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
Tangent Lines to Exponential and Logarithmic Functions through the Origin
Soledad María Sáez Martínez and Félix Martínez de la Rosa
Derivatives of Exponential Functions
Rob Morris
The x^x Spindle
Mark McClure
Polynomial Approximation of the Exponential Function
Hein Hundal
Slide Rule
George Beck
Graphs of Successive Digits of Pi, e, and Phi
Daniel de Souza Carvalho
Derivative as a Function
Jim Brandt
Polynomial and Derivative
Ruth Dover
Graphing Derivatives
Joshua Fritz, Chad Pierson, and Angela Sharp
The Schwarzian Derivative of Iterated Functions
Benjamin Webb
Related Topics
Calculus
Derivatives
Exponential Functions
Exponents and Logarithms
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+