Maple Student Edition
Maple Personal Edition
Maple Player for iPad
Maple T.A. MAA Placement Test Suite
Maple T.A. Connector for Blackboard Software
Möbius Project Home Page
View Math Apps
Machine Design / Industrial Automation
System Simulation and Analysis
Model development for HIL
Plant Modeling for Control Design
Other Application Areas
High Schools & Two-Year Colleges
Testing & Assessment
High Performance Computing
MapleSim Model Gallery
User Case Studies
Exploring Engineering Fundamentals
Teaching Concepts with Maple
Maplesoft Welcome Center
Teacher Resource Center
Student Help Center
DifferentialAlgebra[Tools][Differentiate] - differentiates a differential rational fraction
Differentiate(p, theta, R, opts)
Differentiate(L, theta, R, opts)
Differentiate(ideal, theta, opts)
a differential rational fraction
a list or a set of differential polynomials or rational fractions
a sequence of derivation operators
a differential polynomial ring or ideal
a differential ideal
a sequence of options
The opts arguments may contain one or more of the options below.
fullset = boolean. In the case of the function call Differentiate(ideal,theta), applies the function also over the differential polynomials which state that the derivatives of the parameters are zero. Default value is false.
notation = jet, tjet, diff or Diff. Specifies the notation used for the result of the function call. If not specified, the notation of p is used.
memout = nonnegative. Specifies a memory limit, in MB, for the computation. Default is zero (no memory out).
The function call Differentiate(p, theta, R) returns the derivative of p with respect to theta. The parameter p is regarded as a differential polynomial or a differential rational fraction of R, or of its embedding ring if R is an ideal.
The parameter theta is a possibly empty sequence of differential operators. See DifferentialAlgebra for more details.
The function call Differentiate(L, theta, R) returns the list or the set of the derivatives of the elements of L with respect to theta.
If ideal is a regular differential chain, the function call Differentiate(ideal, theta) returns the list of the derivatives of the chain elements. If ideal is a list of regular differential chains, the function call returns a list of lists of derivatives.
This command is part of the DifferentialAlgebra:-Tools package. It can be called using the form Differentiate(...) after executing the command with(DifferentialAlgebra:-Tools). It can also be directly called using the form DifferentialAlgebra[Tools][Differentiate](...).
No differential operator is provided. The function acts as the identity.
Download Help Document