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Зачет по производной

Authored by Ирина Ивановна

Mathematics

10th - 11th Grade

Used 5+ times

Зачет по производной
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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Найдите производную заданной функции: f(x)= х−41−3х\frac{\text{}х-4}{1-3х}  

11(1−3х)2\frac{11}{\left(1-3х\right)^2}  

−11(1−3х)2\frac{-11}{\left(1-3х\right)^2}  

11−6х(1−3х)2\frac{11-6х}{\left(1-3х\right)^2}  

6х−11(1−3х)2\frac{6х-11}{\left(1-3х\right)^2}  

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Найти производную сложной функции: f(x)= (х2+1)2\left(х^2+1\right)^2  ,f/ (12)\left(\frac{1}{2}\right)  -?

3,5

1,5

2,5

2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Найти производную сложной функции: f(x)= х2−4х+6\sqrt[]{х^2-4х+6}  

12х2−4х+6\frac{1}{2\sqrt[]{х^2-4х+6}}  

2х−2х2−4х+6\frac{2х-2}{\sqrt[]{х^2-4х+6}}  

х−22х2−4х+6\frac{х-2}{2\sqrt[]{х^2-4х+6}}  

х−2х2−4х+6\frac{х-2}{\sqrt[]{х^2-4х+6}}  

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Найти производную сложной функции: f(x)=3cos2x-sin2x, f| (π8)\left(\frac{\pi}{8}\right)  

-4 2\sqrt[]{2}  

4 2\sqrt[]{2}  

3 2\sqrt[]{2}  

-3 2\sqrt[]{2}  

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Составьте и решите уравнение: f/(x)-f(x)=0, если f(x)=x3

0; -3

1; 2

0; 3

1; 3

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