I BOB. Hosila va uning tatbiqlari — 5-6. Hosila, uning geometrik va fizik ma'nosi — 11-sinf Algebra test savollari

1.Ta'rifga ko'ra, $f(x)=x^2$ funksiyaning hosilasi qanday topiladi va nimaga teng?

• A)$f^{\prime }(x)=x$
• B)$f^{\prime }(x)=2x$
• C)$f^{\prime }(x)=x^2$
• D)$f^{\prime }(x)=2$

2.$f(x)=x^3-7x+5$ funksiyaning hosilasini ta'rifdan foydalanib toping.

• A)$3x^2-7x$
• B)$3x^2-7$
• C)$x^2-7$
• D)$3x^2+7$

3.$f(x)=\frac{1}{x}$ funksiyaning hosilasini toping.

• A)$\frac{1}{x^2}$
• B)$-\frac{1}{x}$
• C)$-\frac{1}{x^2}$
• D)$\frac{-1}{2x}$

4.$f(x)=\sqrt{x}$ funksiyaning hosilasini toping.

• A)$\sqrt{x}$
• B)$\frac{1}{2\sqrt{x}}$
• C)$\frac{1}{\sqrt{x}}$
• D)$2\sqrt{x}$

5.$f(x)=\sqrt[3]{x}$ funksiyaning hosilasini toping.

• A)$\frac{1}{3\sqrt[3]{x}}$
• B)$\frac{1}{3\sqrt[3]{x^2}}$
• C)$\frac{1}{\sqrt[3]{x^2}}$
• D)$3\sqrt[3]{x^2}$

6.$f(x)=x^4$ funksiyaning hosilasini ta'rifdan foydalanib toping.

• A)$x^3$
• B)$4x^2$
• C)$4x^3$
• D)$x^4$

7.$f(x)=5$ ($5$ — o'zgarmas son) funksiyaning hosilasini toping.

• A)$5$
• B)$1$
• C)$0$
• D)x

8.Hosilaning geometrik ma'nosi nimadan iborat?

• A)funksiyaning $x_0$ nuqtadagi qiymatidan
• B)funksiya grafigiga $x_0$ nuqtada o'tkazilgan urinmaning burchak koeffitsiyentidan
• C)funksiyaning eng katta qiymatidan
• D)funksiya grafigining Ox o'qi bilan kesishish nuqtasidan

9.Hosilaning fizik ma'nosi nimadan iborat?

• A)moddiy nuqtaning oniy tezligidan
• B)bosib o'tilgan yo'ldan
• C)harakat vaqtidan
• D)o'rtacha tezlikdan

10.$f(x)=x^2$ funksiya grafigiga $A(1;1)$ nuqtada o'tkazilgan urinmaning burchak koeffitsiyentini toping.

• A)$1$
• B)$2$
• C)$4$
• D)$0,5$