1. Quyidagi funksiyaning qaysi biri 2y'=y tenglamaning yechimi boladi?

+1-variant
1. Quyidagi funksiyaning qaysi biri 2y'=y tenglamaning yechimi boladi?
A)2 B) C) D) E)
2. Hosilalar uchun formulalarning qaysilari togri?
1)( )'= 2)( )'=_
3) =- 4)( =k 5)( ))'=
A)1,2,4 B)2,3,5 C)1,2,5 D)1,3,4 E)2,4,5
3. bolsa, tengsizlikning eng katta butun yechimini toping.
A)2 B)-4 C)3 D)-2 E)1
4. funksiyaning hosilasini toping.
A)0 B)2
C D) E)hosila mavjud emas
5. va bolsa ning x=2 dagi qiymatini toping.
A)64400 B)60000 C)61440 D)64410 E)64000
6. , bo’lsa,
A) B) C) D)
7. funksiyaning hosilasini toping.
A) B) C) D) E)
8. funksiya uchun ni toping.
A) B) C) D) E)
9. Agar bo’lsa, ni hisoblang.
A) ¼ B) 1 C)1/2 D) ¾ E) 3/8
10.Agar cos4x -2cosx bo’lsa, ni hisoblang.
A) -11 B)13 C) +1 D) -2 E) -13
11.y =xlnx funksiyaning kamayish oralig’ini toping.
A)(0; ] B)(1; e] C)(0; e) D)(-1; 1) E)[0; )

12. funksiyaning [0;2] kesmadagi eng kichik qiymatini toping.

A) 2 B) 2,5 C) 3 D) 4 E)5
13. Qaysi nuqtada funksiya grafigi abssissa o’qiga li burchak ostida joylashgan ?
A) B) ( C) ( D) E)
14. funksiya grafigiga abssissa x=0 nuqtada o’tkazilgan urinmaning tenglamasini ko’rsating.
A) y=1 B) y=-1 C) y=-x D) y=1-4x E) y=2x-1
15. qonuniyat bilan harakatlanayotgan jismning eng katta tezligini aniqlang.
A) 16 B) 20 C) 3 D) 24 E) 36

2-variant

1.Agar = bolsa, x ning + - tenglikni qanoatlantiradigan barcha qiymatlarini toping.
A) C)(1 E)(0;1)
B)[1; D)(0;
2.Hosilalar uchun formulalarning qaysilari togri?
1) = 2)( )= 3)
4) = 5)
A)3,4,5 B)1,2,3 C)2,3,4 D)2,3,5 E)1,3,5
3. -?
A)-1/2 B)1/2 C)2/3 D)-2/3 E)1/3
4. Agar bolsa tengsizlikni yeching.
A)(-1;0)U(0;1) B)(- C)(1; ) D)(0;1) E)(-1;0)
5. Agar va bolsa a ni toping
A)1 B)4 C)3 D)2 E)5
6. funksiya berilgan, hosilasining ildizlari ko’paytmasini toping.
A) -16 B) -4 C) 64 D)32
7. funksiyaning hosilasini toping.
A) B) C) D) E)
8. funskiyaning hosilasini toping.
A) B) C) D) E)
9. funksiyaning hosilasini toping.
A) +lnx) B) C) D) lnx E)
10. y=sin(sinx) funksiyaning hosilasini toping.
A)sin(sinx)*cosx B)cos(cosx)*cosx C)sin(cosx)*sinx D)cos(sinx)*sinx E)cos(sinx)*cosx
11. funksiyaning o’sish oralig’ini toping.
A)(0; e] B)(0; ] C)[ ; e] D)[0; 1) E)(e; )
12. funksiyaning eng katta qiymatini toping.
A) B) 1 C) D) -1 E) -
13. funksiyaning ekstremum nuqtalaridagi qiymatlari yig’indisini toping.
A) -9 B)-6 C)-8 D)-4 E)-2
14. funksiya grafigining o’qi bilan urinish nuqtalarining koordinatalarini toping.
A) B)
C) D) E)
15. Moddiy nuqta qonuniyatiga ko’ra harakatlanyapti. Nuqtaning bosib o’tgan yo’li 16 km ga teng bo’lgan paytdagi tezligi (km/soat) aniqlang.
A) 28 km/s B) 30 km/s C) 34 km/s D) 32 km/s E) 26 km/s
3-variant
1. Agar va bolsa, f’( ni hisobleng.
A)-0,6 C)0,8 E)0,4
B) D)-1/3

2. Hosilalar uchun formulalarning qaysilari togri?

1) 2)
3) 4)
5)
A)1,3,5 B)1,3,4 C)1,2,4 D)1,4,5 E)2,4,5
3. Agar bolsa, ni toping.
A)7 B)2 C)3 D)-1 E)0
4. Agar bolsa, ni hisobleng.
A) B) C)2/25 D)-2/25 E)-121/250
5. bolsa
A)1/16 B)1/9 C)5/16 D1/32 E)1/24
6. Funksiya hosilasini toping
A) B)
C) D)
7. funksiyaning hosilasini toping.
A) B) C) D) E)
8. funksiyaning hosilasini toping.
A) 1/sinx B) 2/sinx C)tgx D) ctgx E) 2/cosx
9. funksiyaning hosilasini toping.
A) B) C) D) E)
10.y= funksiyaning hosilasini toping.
A) B) *sin2x C)2 *sinx D) * E) *
11. a ning qanday qiymatlarida y=2 -a +(2a+1)x-3 funksiya son o’qining barcha nuqtalarida o’suvchi bo’ladi.
A)[1; B)[2; C)[0;1] [2; D)(- E)[0 ;
12. ko’paytmaning eng kichik qiymatini toping.
A) 3 B) 2 C) 1 D) -1 E) -2
13. funksiyaning maksimumi va minimumi ayirmasini toping.
A) -1 B) 1 C) 1 D) -1 E) 1,5
14. funksiyaning grafigiga o’tkazilgan urinma abssissasi o’qi bilan li burchak tashkil etadi. Urinish nuqtasining ordinatasini toping.
A) B) C) D) E)
15. qonuniyat bilan harakatlanayotgan moddiy nuqtaning sekundagi tezlanishini hisoblang (S metrlarda).
A) B) C) D) E)

4-variant

1. Agar f(X) = +x- va g(X)=3 bolsa f’(X) g’(X) tengsizlikning eng kichik natural yechimini toping.
A)3 B)2 C)6 D)5 E)1
2. Hosilalar uchun formulalarning qaysilari togri?
1) 2)
3) 4) 5) , x>0.
A)2,4,5 B)2,3,4 C)1,2,4 D)1,4,5 E)2,3,5
3. y= ,
A)0 B)1,5 C)0,5 D)0,5 E)1
4. )-?
A)0 B)5 C)2 D)7 E) mavjud emas
5. Agar bolsa, tengsizlikni yeching.
A)(- B)( C)( D)
6. Agar bo’lsa, ni toping.
A) e B) C) D)
7. Agar bo’lsa, ni hisoblang.
A) 1 B) -1 C) D) E)
8. Agar va bo’lsa, tenglik o’rinli bo’ladigan x ning barcha qiymatlarini toping.
A) B) C) D) E)
9.Agar f(x)= bo’lsa, f’(1)ning qiymatini toping.
A)1 B)2 C) D) -1,5 E) -1
10.y=sin(cosx) funksiyaning hosilasini toping.
A)sinx *cos(cosx) B)cosx *sin(cosx) C) -sinx *cos(cosx) D)-cosx *sin(cosx) E)cosx *cos(sinx)
11.y=sin2x-x (x [0; funksiyaning o’sish oralig’ini aniqlang.
A)[0 ; B)[ C)[ D)[0; E)[o;
12. funksiyaning [-1;3] dagi eng katta va eng kichik qiymalarini aniqlang.
A) 2; -4 B)0; -32 C) 6;-21 D) 0;-27 E) 6;-20
13. funksiyaning [1/4, 1] kesmadagi eng katta va eng kichik qiymatlarini toping.
A) 7 B) 9 C) 10 D)6
14. funksiyaning nuqtasiga o’tkazilgan urinmaning burchak koeffitsiyentini toping.
A) B) C) ln2 D)2
15. To’g’ri chiziq bo’ylab qonuniyat bo’yicha harakatlanayotgan moddiy nuqtani t=2 sekunddagi tezligini aniqlang.
A) 0,2 B)0,25 C)0,28 D) 0.32 E) 0,5