This is to be done in MATLAB. Thanks! MISSION: Build a script (use the Live Script in MATLAB) that produces the derivative of the function f(x)=exp(−x)cos(x) between x=−5 and x=5 by applying both, the Forward Difference and Centered Difference approximations. Compare the numerically-determined derivatives with the actual derivative (product rule) by plotting all three curves on the same graph. Demonstrate graphically that the accuracy of the numerical derivative increases as the interval Δx decreases. It would be most effective to plot all three curves on the same graph for a given value of Δx. End up with a separate graph, demonstrating the comparison of all three curves, for each value of Δx chosen. Also, describe the "numerical approach," i.e. the method used to approximate the derivative. Thus, a clear description of the numerical approach at the beginning of the Live Script, and a detailed demonstration of how accuracy increases by systematically lowering Δx is expected as part of the Live Script submission.
This is to be done in MATLAB. Thanks!
MISSION: Build a script (use the Live Script in MATLAB) that produces the derivative of the function f(x)=exp(−x)cos(x) between x=−5 and x=5 by applying both, the Forward Difference and Centered Difference approximations. Compare the numerically-determined derivatives with the actual derivative (product rule) by plotting all three curves on the same graph. Demonstrate graphically that the accuracy of the numerical derivative increases as the interval Δx decreases. It would be most effective to plot all three curves on the same graph for a given value of Δx. End up with a separate graph, demonstrating the comparison of all three curves, for each value of Δx chosen. Also, describe the "numerical approach," i.e. the method used to approximate the derivative. Thus, a clear description of the numerical approach at the beginning of the Live Script, and a detailed demonstration of how accuracy increases by systematically lowering Δx is expected as part of the Live Script submission.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
