BÀI TOÁN KHẢO SÁT HÀM SỐ BẬC HAI TRÊN BẬC 1 TỔNG QUÁT TRÊN PHẦN MỀM MAPLE

with(plots):with(student):
kshspt1:=proc(a,b,c,d,e)
local x,Y,dhbn,t1,t2,xm;
Y:=(a*x^2+b*x+c)/(d*x+e);dhbn:=simplify(diff(Y,x));
print(`khao sat hs dang phan thuc`);print(y=Y);
print(`1.Tap xac dinh cua ham so la`);print(D={x<>-e/d});
print(`2.Chieu bien thien`);
print(`Dao ham bac nhat`);print(y=dhbn);
print(`Ham so dong bien tren khoang`);print(solve(diff(Y,x)>=0));
print(`Ham so nghich bien tren khoang`);print(solve(diff(Y,x)<0));
xm:=solve(denom(Y)=0,x):
t1:=limit(Y/x,x=infinity):
t2:=limit(Y-t1*x,x=infinity):
if t1<>infinity or t1<>-infinity then print(`tiem can dung cua dths la:`);print(x=xm);
print(`tiem can xien cua dths la y=`);print(y=t1*x+t2);fi;
print(`Do thi ham so cat truc tung tai`);
print(intercept(y=Y,x=0,{x,y}));
print(`do thi ham so cat truc hoanh tai:`);
print(intercept(y=Y,y=0,{x,y}));
print(`Tam doi xung cua do thi ham so la`);
print(intercept(y=t1*x+t2,x=xm,{x,y}));
print(`Do thi ham so co dang sau`);
print(plot({Y,x*t1+t2},x=-10..10,-10..10,colour=green));
end;