hey i've got the following question and not sure how to do part (b) of it.

consider the functions

f(x)=x^{2}-3x+1 and

g(x)=(1+x)sin(2x)

(a) write a MATLAB program to plot the graphs of f(x) and g(x) for -2<=x<=3 together in the same figure.

(b) Given that the function y(x)=f(x)-g(x) has only one local minimum point, denoted by(xmin, ymin), on the intercal -2<=x<=3, write

i) a function M-file (cakked func.m) and

ii) a MATLAB program (using the fminbnd comand) that together will compute xmin and ymin

i've got this for part (a)

Code:

clear
x=-2:0.0001:3;
f=((x.^2)-(3*x)+1);
g=((1+x).*sin(2.*x));
plot(x,f,x,g,'--');
legend('f(x)','g(x)')

not sure how to go about for part (b) both sections

any help will be much appriciated

thanks