how can I use Newton's method to find the extremum with error < 10^-4 ?

f = @(x) 20.*exp(-(x-4).^4) + 6.*sin((pi./7).*x) + 0.4.*x + 20 ;

df = -80.*exp(-(x-4).^4).*((x-4).^3) + ((6./7).*pi).*cos((pi./7).*x) + 0.4 ;

Answer 1

[Nishitha Ayyalapu]

These functions can do the job: Derivative-free approach:

fminsearch

Derivate based approach

fminunc

You can find more about the available optimization tools here:

http://www.mathworks.com/help/optim/functionlist.html

http://www.mathworks.com/help/matlab/optimization.html

Hope this helps!!