Math test with answers Part 2

Question 3. What is the derivative of the function?


The limit values \u200b\u200bof this function;

0;

1;

e


Question 4. What function is differentiable at x = 4?


ln (x-4);

having a derivative at x = 4;

is continuous at x = 4;

there is no right answer


Question 5. What function is called differentiable on (a, b)?


discontinuous at each interval;

differentiable at each point of the interval;

constant;

increasing;

decreasing.




Task 6


Question 1. What is the derivative of y = a constant?


1;

0;

e;

;

there is no right answer.


Question 2. What is the derivative of the function y = x5?


0;

1;

e;

5x4;

there is no right answer.


Question 3. What is the derivative of y = ex?


0;

ex;

e;

1;

there is no right answer.


Question 4: What is the derivative of y = ln x?


;

0;

e;

1;

there is no right answer.


Question 5. What is the derivative of y = sin x?


0;

cos x;

e;

1;

there is no right answer.




Task 7


Question 1. Can a continuous function be differentiable?


No;

Yes;

only at x =;

only at x = 0;

there is no right answer.


Question 2: Is it always a continuous function is differentiable?


always;

never;

not always;

at x = 0;

in Vol. x =.


Question 3: Can a differentiable function to be continuous?


No;

Yes;

never;

in Vol. x = 0;

in Vol. x =.


Question 4. Is it always a differentiable function is continuous?


not always;

never;

there is no right answer;

in Vol. x = 0;

always.


Question 5. Find the second derivative of the function y = sin x.


cos x;

-sin x;

0;

1;

tg x.




Task 8


Question 1. What is the main linear part of the increment function?


derivative;

Differential (DN);

function;

infinitesimal;

infinitely large.


Question 2. State the L'Hospital's rule.


If the right-hand side there is a limit;

;

;

there is no right answer;


Question 3: Which types of uncertainties can be opened using L'Hospital's rule?


{0};

;

cx 0;

cx;

x.


Question 4. Is the condition of the y = 0 at the point, which is not a boundary point of the domain of a differentiable function at the necessary condition for the existence of extremum at this point?


No;

Yes;

not always;

sometimes;

there is no right answer.


Question 5. Is the condition of the j = 0 m. X = a sufficient condition for the existence of extrema?


Yes;

No;

not always;

sometimes;

there is no right answer.




Task 9


Question 1. What function is called a function of two variables?


f (x);

n = f (x, y, z);

there is no right answer;

z = f (x, y);

f (x) = const = c.


Question 2. Calculate the limit of the function.


0;

29;

1;

5;

2.


Question 3: Calculate the limit of


0;

1;

16;

18;

20.


Q4: Which lines are called lines of discontinuity?


straight;

consisting of break points;

parabola;

ellipses;

there is no right answer.


Question 5. Find the first derivative of the function at z = 3x + 2y.


1;

2;

0;

5;

there is no right answer.




Task 10


Question 1. What is the function whose derivative is the given function?

Question 2. Locate the erroneous expression if - one of the primitives for a function, and C - arbitrary constant.

etc.


IF YOU DO NOT SOMETHING liked the work, the report indicates E-MAIL, we will contact you and analyze all of your claim during the day.

If you like the work, please leave feedback, this will help you to increase the product list of inexpensive but high-quality work.

Works in * .rar opens archiver download any free and open.