Matlab or computer algebra systems

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SUMMARY

Matlab incorporates a Computer Algebra System (CAS) called MuPad for symbolic manipulation, which is available in the student edition or through the purchase of the symbolic toolbox. Both Matlab and other CAS systems utilize fundamental calculus rules to compute derivatives of functions. Users can enhance their understanding of symbolic differentiation by researching resources such as the MIT Press's "Structure and Interpretation of Computer Programs."

PREREQUISITES
  • Understanding of calculus principles, specifically differentiation
  • Familiarity with Matlab, particularly the symbolic toolbox
  • Knowledge of Computer Algebra Systems (CAS)
  • Basic programming skills in Matlab
NEXT STEPS
  • Research "symbolic differentiation" techniques in Matlab
  • Explore the capabilities of MuPad within Matlab
  • Investigate other Computer Algebra Systems and their derivative functionalities
  • Read "Structure and Interpretation of Computer Programs" for deeper insights into symbolic computation
USEFUL FOR

Students, mathematicians, and engineers interested in symbolic computation, as well as anyone looking to enhance their skills in Matlab and Computer Algebra Systems for derivative calculations.

matqkks
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How does Matlab or computer algebra systems find derivatives of functions?
Is it correct that they use matrix transformation?
 
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matqkks said:
How does Matlab or computer algebra systems find derivatives of functions?
Is it correct that they use matrix transformation?

1. There is not really any distinction between Matlab and the CAS systems as Matlab has a CAS (MuPad) embedded in it for symbolic manipulation (or it does if you have the student edition or have forked out the extra £500-1000 for the symbolic toolbox)

2. They find derivatives by essentially applying the same sort of rules you will have learned in your calculus courses. If you want more information Google for "symbolic differentiation", you will find hits like http://mitpress.mit.edu/sicp/full-text/sicp/book/node39.html

CB
 

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