% lect12_1: Minima and maxima
% (single step)

% Plot the function
F = @ (x) x^3 - 12*x^2 + 40.25*x - 36.5
fplot(F, [0 8])
grid on

% Find the minimum between 5 and 6
[x fval] = fminbnd(F, 5, 6)

% Change interval to 0 to 8
[x fval] = fminbnd(F, 0, 8)

% Change interval to 0 to 1
[x fval] = fminbnd(F, 0, 1)

% Find maxima by multiplying function by -1
% and finding minima
F2 = @ (x) -F(x)
[x fval] = fminbnd(F2, 0, 8)