1. Write a function file in matlab that performs gradient-based optimization and determine the
maxima, minima, and inflection points for the following function over range 0 to 4. Determine
what your inputs and outputs should be.
x 6
-10x 5
+36x 4
-58x 3
+43x 2
-12x-13
Solution
t=[0:0.1:20]; y=exp(-t).*sin(pi./2.*t); %Our Function yAbs=abs(y); %Take the absolute value of
the function. yMaxMin=zeros(201); %Create an array of zeros to be filled w/ data. for(i=2:200)
%If a point is a maxima in yAbs, it will be a maxima or a minima in y. if(yAbs(i-1) yAbs(i))
plotPoint=yAbs(i); %If the value is a max, store it in plotPoint. end yMaxMin(i)=plotPoint;
%Store the value of plotPoint into yMaxMin(i) end plot(t,yAbs); hold on plot(t,yMaxMin);