2. Find the derivative with the forward and backward, and difference methods in C. For the central difference method, write a script m-file and use the 2 point estimation of the derivative at the end points. Plot the data file and the derivative on one plot. Submit code and run results, m-file and run results plus plot. Check your results with Matlab's diff function. How does Matlab/Octave numerically calculate derivatives? Optional: investigate Matlab cfit/differentiate L LUI VIDIUL VICV ICI Lab11.txt 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.1 1.2 1.3 1.4 1.5 0.000 0.005 0.020 0.045 0.079 0.126 0.181 0.243 0.323 0.410 0.500 0.603 0.715 0.847 0.993 1.113 1.267 1.438 1.600 1.825 2.007 2.207 2.448 2.618 2.856 3.140 3.426 3.653 3.874 1.6 1.7 1.8 1.9 2 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2. Find the derivative with the forward and backward, and difference methods in C. For the central difference method, write a script m-file and use the 2 point estimation of the derivative at the end points. Plot the data file and the derivative on one plot. Submit code and run results, m-file and run results plus plot. Check your results with Matlab's diff function. How does Matlab/Octave numerically calculate derivatives? Optional: investigate Matlab cfit/differentiate L LUI VIDIUL VICV ICI Lab11.txt 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.1 1.2 1.3 1.4 1.5 0.000 0.005 0.020 0.045 0.079 0.126 0.181 0.243 0.323 0.410 0.500 0.603 0.715 0.847 0.993 1.113 1.267 1.438 1.600 1.825 2.007 2.207 2.448 2.618 2.856 3.140 3.426 3.653 3.874 1.6 1.7 1.8 1.9 2 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8