I BOB. Hosila va uning tatbiqlari — 18-21. Hosila yordamida funksiyani tekshirish va grafiklarni yasash — 11-sinf Algebra test savollari

1.$f(x)=2x^3-3x^2-12x+3$ funksiyaning o'sish oraliqlarini toping.

• A)$(-1;2)$
• B)$(-\infty ;-1)$ va $(2;+\infty )$
• C)$(-\infty ;2)$
• D)$(-2;1)$

2.$f(x)=2x^3-3x^2-12x+3$ funksiyaning statsionar nuqtalarini toping.

• A)$x=1;x=-2$
• B)$x=-1;x=2$
• C)$x=0;x=2$
• D)$x=-1;x=1$

3.$f(x)=x^3-3x+3$ funksiyaning lokal maksimum va lokal minimum nuqtalarini toping.

• A)$x=1$ — maksimum, $x=-1$ — minimum
• B)$x=-1$ — maksimum, $x=1$ — minimum
• C)$x=0$ — maksimum, $x=1$ — minimum
• D)$x=-1$ — minimum, $x=1$ — maksimum emas

4.$f(x)=x+\frac{1}{x}$ funksiyaning kamayish oraliqlarini toping.

• A)$(-\infty ;0)$ va $(0;+\infty )$
• B)$(-1;0)$ va $(0;1)$
• C)$(-\infty ;-1)$ va $(1;+\infty )$
• D)$(-1;1)$

5.$f(x)=x^3+4,5x^2-9$ funksiyaning $[-4;2]$ kesmadagi eng katta qiymatini toping.

• A)$4,5$
• B)$17$
• C)$-9$
• D)$-1$

6.$f(x)=x^3+4,5x^2-9$ funksiyaning $[-4;2]$ kesmadagi eng kichik qiymatini toping.

• A)$-1$
• B)$4,5$
• C)$-9$
• D)$17$

7.Statsionar nuqta ta'rifiga ko'ra, $y=f(x)$ funksiyaning hosilasi qanday qiymatga teng bo'lgan nuqtalar statsionar deyiladi?

• A)$1$ ga
• B)$0$ ga
• C)f(x) ga
• D)x ga

8.1-teoremaga ko'ra, (a;b) oraliqda $f^{\prime }(x)>0$ bo'lsa, f(x) funksiya bu oraliqda qanday bo'ladi?

• A)kamayuvchi
• B)o'suvchi
• C)o'zgarmas
• D)aniqlanmagan

9.2-teoremaga ko'ra, (a;b) oraliqda $f^{\prime }(x)<0$ bo'lsa, f(x) funksiya bu oraliqda qanday bo'ladi?

• A)o'suvchi
• B)o'zgarmas
• C)kamayuvchi
• D)statsionar

10.$f(x)=x^3-27x$ funksiyaning o'sish oraliqlarini toping.

• A)$(-3;3)$
• B)$(-\infty ;-3)$ va $(3;+\infty )$
• C)$(-\infty ;0)$
• D)$(0;+\infty )$