производная начало Quiz: 5 Practice Questions (Grade 10)

5 questions

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1.

MATCH QUESTION

3 mins • 1 pt

Сопоставьте функции и их производные

$f'\left(x\right)=\frac{5}{2\sqrt[]{x}}$

$f\left(x\right)=\frac{5}{x^3}$

$f'\left(x\right)=-\frac{5}{x^2}$

$f\left(x\right)=5\sqrt[]{x}$

$f'\left(x\right)=15x^2$

$f\left(x\right)=\frac{5}{x}$

$f'\left(x\right)=5$

$f\left(x\right)=5x^3$

$f'\left(x\right)=-\frac{15}{x^4}$

$f\left(x\right)=5x$

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Найдите производную функции $f\left(x\right)=2x^5-\frac{4}{x^2}$

$f'\left(x\right)=10x^4+\frac{8}{x^3}$

$f'\left(x\right)=10x^6-\frac{8}{x^3}$

$f'\left(x\right)=10x^4-\frac{8}{x^3}$

$f'\left(x\right)=10x^6+\frac{8}{x}$

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Найдите производную функции $f\left(x\right)=\left(2\sqrt[]{x}+1\right)\cdot x^3$ в точке $x_0=1$

10

11

3

-8

4.

FILL IN THE BLANKS QUESTION

3 mins • 1 pt

Cумма корней уравнения $\left(\frac{x^2-3}{x+2}\right)'=0$ равна

(a)

5.

FILL IN THE BLANKS QUESTION

3 mins • 1 pt

Наименьшее натуральное решение неравенства $f\left(x\right)\cdot f'\left(x\right)<0$ , где $f\left(x\right)=x^2-2x-3$

(a)

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производная начало

Сопоставьте функции и их производные

Найдите производную функции f(x)=2x5−4x2f\left(x\right)=2x^5-\frac{4}{x^2}f(x)=2x5−x24​

Найдите производную функции f(x)=(2x+1)⋅x3f\left(x\right)=\left(2\sqrt[]{x}+1\right)\cdot x^3f(x)=(2x​+1)⋅x3 в точке x0=1x_0=1x0​=1

Cумма корней уравнения (x2−3x+2)′=0\left(\frac{x^2-3}{x+2}\right)'=0(x+2x2−3​)′=0 равна (a)

Наименьшее натуральное решение неравенства f(x)⋅f′(x)<0f\left(x\right)\cdot f'\left(x\right)<0f(x)⋅f′(x)<0 , где f(x)=x2−2x−3f\left(x\right)=x^2-2x-3f(x)=x2−2x−3 (a)

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Найдите производную функции $f\left(x\right)=2x^5-\frac{4}{x^2}$

Найдите производную функции $f\left(x\right)=\left(2\sqrt[]{x}+1\right)\cdot x^3$ в точке $x_0=1$

Cумма корней уравнения $\left(\frac{x^2-3}{x+2}\right)'=0$ равна

(a)

Наименьшее натуральное решение неравенства $f\left(x\right)\cdot f'\left(x\right)<0$ , где $f\left(x\right)=x^2-2x-3$

(a)