y sin 3 x bo’lsa, y ?
A)* 3sin 2 x cos x ;
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B) cos3 x ;
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C) cos2 x sin x ;
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D) sin x cos x .
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6.
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f (x) cos
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2
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(e
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x
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1) bo’lsa, f (0) ni toping.
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A)* sin 4;
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B) cos4;
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C) 2sin 2 ;
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D) sin 2 cos2.
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7.
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f (x) ex sin x
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bo’lsa f (x) 0 tenglamani yeching.
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A) x o ;
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B) * x
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;
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C) x
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k ;
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D) x
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k .
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4
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4
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2
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8. f (x) 4x3
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11x2 8x 7 bo’lsa, f (x) 0 tengsizlik nechta butun
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yechimga ega?
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A) yechim yo’q.
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B) 2
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C)* 1
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D) 3.
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9.
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f (x) ln 2 3x
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bo’lsa,
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f (x) ?
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A)
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6
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ln(3x) ;
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B) 2 ln(3x) ;
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C) *
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2
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ln(3x) ;
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D) 6 ln(3x) .
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x
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x
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10.
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f (x) | x 5 | bo’lsa,
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f (3) ni toping.
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A) 2
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B) 1
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C) 0
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D)* 1.
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11. y x3 3x 5 funksiya urinmalari
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y
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x
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ga perpendikulyar bo’lgan nuqtalar
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9
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koordinatalarini aniqlang.
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B) M1 (2;0), M 2 (0;0);
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A) * M1 (0;3),
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M 2 (3;0);
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C) M1 (2;3),
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M 2 (2;7);
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D) M1 (2;3),
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M 2 (2;7) .
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12. y x2
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x funksiya urinmasi
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y 3x ga parallel nuqta koordinatalarini aniqlang.
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A)* (2;2) ;
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B) (0;2) ;
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C) (2;0) ;
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D) (2;3) .
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13. y x3
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3x 2
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egri chiziq
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(2;4)
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nuqtasiga o’tkazilgan urinma tenglamasini
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aniqlang.
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D) 2x 3y 0 .
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A) 3x y 14 0 ;
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B)* 9x y 14 0 ;
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C) x 9 y 14 0 ;
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14. y 2x2 x 5 parabola x 0,5 nuqta urinmasini aniqlang.
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A)* 6x 2 y 9 0 ;
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B) 3x y 10 0 ;
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C) 4x y 10 0;
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D) 2x 6 y 37 0 .
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y f (x) funksiya grafigiga o’tkazilgan urinma Ox o’qi bilan 450 li burchak
tashkil etadi. Agar urinma tenglamasi uchun y(2) 18 bo’lsa, urinma tenglamasini
aniqlang.
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A) y 5x 8;
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B) y 16 ;
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C) y 2x 14 ;
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D)* y x 16 .
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16.
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y 2x2 x 5
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parabola
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x 0,5
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abssissali nuqtasiga
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o’tkazilgan normal
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tenglamasini aniqlang.
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A) x 2 y 15 0;
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B) 2x 3y 37 0 ;
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C)* 2x 6 y 37 0 ; D) 2x 6 y 0 .
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17.
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y x3 3x 2
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egri chiziq
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(2;4) nuqtasiga o’tkazilgan
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normal tenglamasini
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aniqlang.
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A) 8x y 14 0 ; B) 2x 9 y 14 0 ; C) 4x y 38 0;
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D) * x 9 y 38 0 .
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