Numerical differentiation using various methods with evenly spaced points

Aim

The objectives of this experiment are:

  • To understand the concept of numerical differentiation and its importance in approximating derivatives when analytical expressions are not available.

  • To input a mathematical function and define a suitable range with evenly spaced data points for numerical analysis.

  • To apply different numerical differentiation techniques, namely:

    • Forward Difference Method
    • Backward Difference Method
    • Central Difference Method
  • To compute and observe numerical derivative values using tabular output generated by the simulation tool.

  • To compare the original function with its numerically approximated derivative through graphical visualization.

  • To analyze the effect of step size and method selection on the accuracy of numerical derivative estimation.

  • To develop practical insight into the role of numerical differentiation in engineering and scientific computations.