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Qarshi davlat universiteti international scientific and practical conference on algorithms and current problems of programming
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| bet | 105/551 | | Sana | 15.05.2024 | | Hajmi | 15,84 Mb. | | #234763 |
Bog'liq Asosiy oxirgi 17.05.2023 18.20Funksiya grafigini qurish.
f
(
x
) funksiyaning grafigini qurish funksiyani tekshirishning
yakuniy bosqichi. Buni quyidagi misolda ko‘ramiz:
)
(
arctg
2
x
y
funksiyaning grafigini va uning asimptotasini qurish, ekstremum
nuqtalarining koordinatalarini ko‘rsatish talab qilinsin. Standart kutubxonadan barcha
kerakli komandalarni yuklaymiz.
> restart: y:=arctan(x^2):
> iscont(y, x=-infinity..infinity);
true
> k1:=limit(y/x, x=-infinity);
k1
:=0
> k2:=limit(y/x, x=+infinity);
k2
:=0
> b1:=limit(y-k1*x, x=-infinity);
2
1
:
1
b
> b2:=limit(y-k1*x, x=+infinity);
2
1
:
2
b
> yh:=b1;
2
1
:
yh
> extrema(y,{},x,'s');s;
{0}
{{
x
=0}}
> ymax:=maximize(y,{x}); ymin:=minimize(y,{x});
:
max
y
0
:
min
y
> with(plots): yy:=convert(y,string):
> p1:=plot(y,x=-5..5, linestyle=1, thickness=3,
color=BLACK):
> p2:=plot(yh,x=-5..5, linestyle=1,thickness=1):
> t1:=textplot([0.2,1.7,"Asimptota:"],
font=[TIMES, BOLD, 10], align=RIGHT):
> t2:=textplot([3.1,1.7,"y=Pi/2"],
font=[TIMES, ITALIC, 10], align=RIGHT):
> t3:=textplot([0.1,-0.2,"min:(0,0)"],
align=RIGHT):
> t4:=textplot([2,1,yy], font=[TIMES, ITALIC,
10], align=RIGHT):
> display([p1,p2,t1,t2,t3,t4]);
131
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Qarshi davlat universiteti international scientific and practical conference on algorithms and current problems of programming
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