The code is almost completed, there is just missing information. Explanations of variables/statements missing are appreciated.
Function nudi 2x #tilin e 1,10) 2 p ac (7.5, 0.5) figure 1) plot it, it ' , 'Liewidth', 1.5); held on plot (x, x), kol plot xh, Exeh, 'b'); plot Is , Ex-hl, bo') 79 0.16 0.1] titlePress Space Bar to Com xlabel('x'); label' x)) xlabel("h), ylabel(true relative error()) legend("Forward', 'backward', 'centered, location', 'beat. ) fprintf(" df/dx at B: 17.3 (exact) n'exact) EprintEthit forwardit backward ww w a bit ca cin'); fprintf('17.3ft 7.3 .3 17.3 17. SEE 7.5 17.5 In'... (dx;dt tid bid a fea_bea_el: end subfunctions can be added to a function file only wubunction Eos E (x) wubunction Eor di/dx Eunction - dE k for $1.10 Ex - ...); backward point Ex -t... forward point DE E . .../h forward Finite di appre af b() ( l/h; backward finita di approx DE (1) .../12h) centered Einite diff approx dalah ore inteli 1. Differentiate the following function: f(x) = - 2x + 1 and solve its first derivative atr8 2. Numerically evaluate the approximatex first derivative from the above function at I= 8 and h= 0.15 by the following: pl. [df ) ) Ervard alope p2 - Id 21 backward slope p3 - de er al center alope (exista dalate al end g-plot (t2.polyval (pl. 2), t2.polyval (p2, 2), 'b'.t2.. polyvalp,2).'g'l 1- legend sens. Bx 131, 13x +18'1,5x1-181,.. Evds. intr31.w intatil Setr i n ) 31. location',' '); 1. Interpreter latex'; (a) Forward finite difference method (b) Backward finite difference method (c) Centered finite difference method 3. Calculate the error of each method by comparing the numerical derivative with the result from problem 1. S eat-aba exact df /exact) 100 percent true rel err forward Ob sb (exact-a /exact) 100 percent true mel err-backward ao-aba (exact-df_ /exsct) 100 percent true rel err-centered elose all: 12) loglog ldx.ca . ..de 'be s , '--'); itle('inite Difference E . Interval Size t Function nudi 2x #tilin e 1,10) 2 p ac (7.5, 0.5) figure 1) plot it, it ' , 'Liewidth', 1.5); held on plot (x, x), kol plot xh, Exeh, 'b'); plot Is , Ex-hl, bo') 79 0.16 0.1] titlePress Space Bar to Com xlabel('x'); label' x)) xlabel("h), ylabel(true relative error()) legend("Forward', 'backward', 'centered, location', 'beat. ) fprintf(" df/dx at B: 17.3 (exact) n'exact) EprintEthit forwardit backward ww w a bit ca cin'); fprintf('17.3ft 7.3 .3 17.3 17. SEE 7.5 17.5 In'... (dx;dt tid bid a fea_bea_el: end subfunctions can be added to a function file only wubunction Eos E (x) wubunction Eor di/dx Eunction - dE k for $1.10 Ex - ...); backward point Ex -t... forward point DE E . .../h forward Finite di appre af b() ( l/h; backward finita di approx DE (1) .../12h) centered Einite diff approx dalah ore inteli 1. Differentiate the following function: f(x) = - 2x + 1 and solve its first derivative atr8 2. Numerically evaluate the approximatex first derivative from the above function at I= 8 and h= 0.15 by the following: pl. [df ) ) Ervard alope p2 - Id 21 backward slope p3 - de er al center alope (exista dalate al end g-plot (t2.polyval (pl. 2), t2.polyval (p2, 2), 'b'.t2.. polyvalp,2).'g'l 1- legend sens. Bx 131, 13x +18'1,5x1-181,.. Evds. intr31.w intatil Setr i n ) 31. location',' '); 1. Interpreter latex'; (a) Forward finite difference method (b) Backward finite difference method (c) Centered finite difference method 3. Calculate the error of each method by comparing the numerical derivative with the result from problem 1. S eat-aba exact df /exact) 100 percent true rel err forward Ob sb (exact-a /exact) 100 percent true mel err-backward ao-aba (exact-df_ /exsct) 100 percent true rel err-centered elose all: 12) loglog ldx.ca . ..de 'be s , '--'); itle('inite Difference E . Interval Size t
