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Show that
f (x + h)

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Answer #1

`Hey,

Note: Brother in case of any queries, just comment in box I would be very happy to assist all your queries

clear, clc
f=@(x) sin(x);
x=pi/3;
exact=-f(x);
h=1e-4;
disp('Approximation of second derivative of sinx at x=pi/3')
app=(f(x+h)-2*f(x)+f(x-h))/h^2
disp('ERROR is');
abs(exact-app)

MATLAB R2018a Search Documentation Log In НOME PLOTS APPS EDITOR PUBLISH VEW Insert fxF Find Files Run Section Go To Compare Comment% New Open Sav Breakpoints Rur Run and Run and Advance Indent Print OFind Advance Time EIL NAVIGATE EDIT BREAKPOINTS BUN C: Windows System32 I Current Folder Editor - C\Users PRADEEP KALRA DocumentsMATLAB saveee.m saveee.m xtrapezoid.m SimpsonComp.mxeulerSystem.m x qauss seidel.m nName- x+ мло clear, clc A f-a (x) sin (x) Advancedinstallers af-ZA xAct--f(x); am-et h-le-4 5- AppLocker disp('Approximation of second derivative of sinx at x-pi/3') app ( (x+h )-2 f (x ) +f (x-h) ) /h*2 disp('ERROR is') abs (exact-app) - as-IN 9 - z-Latn -AZ e-BY Command Window New to MATLAB7 See resources for Getting Started n.BD bn-IN Approximation of second derivative of sinx at x-pi/3 Boot 1033 (Folder) app - Workspace -0.866025406942583 Name Value ans 3.1581e-09 ERROR is app exact -0.8660 -0.8660 ans- 1.0000-04 10473 h x 3.158144634696214e-09 >> Col 14 script In 9 3:22 AM ENG O Type here to search 06/10/19

Kindly revert for any queries

Thanks.

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Answer 1

`Hey,

Note: Brother in case of any queries, just comment in box I would be very happy to assist all your queries

clear, clc
f=@(x) sin(x);
x=pi/3;
exact=-f(x);
h=1e-4;
disp('Approximation of second derivative of sinx at x=pi/3')
app=(f(x+h)-2*f(x)+f(x-h))/h^2
disp('ERROR is');
abs(exact-app)

MATLAB R2018a Search Documentation Log In НOME PLOTS APPS EDITOR PUBLISH VEW Insert fxF Find Files Run Section Go To Compare Comment% New Open Sav Breakpoints Rur Run and Run and Advance Indent Print OFind Advance Time EIL NAVIGATE EDIT BREAKPOINTS BUN C: Windows System32 I Current Folder Editor - C\Users PRADEEP KALRA DocumentsMATLAB saveee.m saveee.m xtrapezoid.m SimpsonComp.mxeulerSystem.m x qauss seidel.m nName- x+ мло clear, clc A f-a (x) sin (x) Advancedinstallers af-ZA xAct--f(x); am-et h-le-4 5- AppLocker disp('Approximation of second derivative of sinx at x-pi/3') app ( (x+h )-2 f (x ) +f (x-h) ) /h*2 disp('ERROR is') abs (exact-app) - as-IN 9 - z-Latn -AZ e-BY Command Window New to MATLAB7 See resources for Getting Started n.BD bn-IN Approximation of second derivative of sinx at x-pi/3 Boot 1033 (Folder) app - Workspace -0.866025406942583 Name Value ans 3.1581e-09 ERROR is app exact -0.8660 -0.8660 ans- 1.0000-04 10473 h x 3.158144634696214e-09 >> Col 14 script In 9 3:22 AM ENG O Type here to search 06/10/19

Kindly revert for any queries

Thanks.