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// The equation cos(x)-x*%e^x==0 has real roots.
// the graph of this function can be observed here.
xset('window',8);
x=-1:.001:2; // defining the range of x.
deff('[y]=f(x)','y=cos(x)-x*%e^x'); //defining the cunction.
deff('[y]=fp(x)','y=-sin(x)-x*%e^x-%e^x');
y=feval(x,f);
a=gca();
a.y_location = "origin";
a.x_location = "origin";
plot(x,y) // instruction to plot the graph
title(' y = cos(x)-x*%e^x')
// from the above plot we can infre that the function has root between
// the interval (0,1)
//sollution by muller method to 5 iterations.
muller5(-1,0,1,f)
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