10217
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Total Differential of the First Order
The total differential of a function of two variables is given by definition:
. Then its total increment is given by
, where
and
as
. The differential
is the principal part of
, which means that
more rapidly than
as
.
Contributed by:
Izidor Hafner
THINGS TO TRY
Rotate and Zoom in 3D
SNAPSHOTS
DETAILS
as
.
RELATED LINKS
Partial Derivatives in 3D
(
Wolfram Demonstrations Project
)
Directional Derivatives in 3D
(
Wolfram Demonstrations Project
)
Partial Derivative
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Total Differential of the First Order
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TotalDifferentialOfTheFirstOrder/
Contributed by:
Izidor Hafner
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
Finite Difference Approximations of the First Derivative of a Function
Vincent Shatlock and Autar Kaw
Geometric Difference between a Finite Difference and a Differential
Anping Zeng (Sichuan Chemical Technical College)
Differential of a Function
Izidor Hafner
Second-Order Partial Derivatives
Joshua Sabloff and Stephen Wang (Haverford College)
Tangent Planes to Quadratic Surfaces
Gerhard Schwaab and Chantal Lorbeer
Automatic Differentiation
Roger B. Kirchner
Cyclic Functions under Differentiation
William Perry
Numerical Methods for Differential Equations
Edda Eich-Soellner
Using Sampled Data to Estimate Derivatives, Integrals, and Interpolated Values
Robert L. Brown
Approximating the Tangent to a Curve with Secants
Stephen Wilkerson (Towson University)
Related Topics
3D Graphics
Approximation Methods
Calculus
Derivatives
High School Advanced Calculus and Linear Algebra
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+