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feat: added derivative and second derivative approximations #1388

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Description of Change

Added two new files to the numerical methods directory.

File 1: differentiation_midpoint.c -> Uses the symmetric derivative to calculate the derivative for any function at x as long as x is defined

File 2: differentiation_second_mid.c -> Uses the second derivative three-point midpoint formula to calculate the second derivative for any function at x as long as x is defined

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Checklist

  • [x ] Added description of change
  • [ x] Added file name matches File name guidelines
  • [ x] Added tests and example, test must pass
  • [ x] Relevant documentation/comments is changed or added
  • [ x] PR title follows semantic commit guidelines
  • [ x] Search previous suggestions before making a new one, as yours may be a duplicate.
  • [ x] I acknowledge that all my contributions will be made under the project's license.

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This pull request has been automatically marked as abandoned because it has not had recent activity. It will be closed if no further activity occurs. Thank you for your contributions.

@github-actions github-actions bot added the Stale label May 18, 2024
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Please ping one of the maintainers once you commit the changes requested or make improvements on the code. If this is not the case and you need some help, feel free to ask for help in our Gitter channel or our Discord server. Thank you for your contributions!

@github-actions github-actions bot closed this May 26, 2024
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