IPN Higher Level Differential Calculus Simulator Exam 2024

IPN Differential Calculus Mock Exam HIGHER LEVEL 2024

welcome to Differential Calculus SIMULATOR EXAM 2024 of the IPN, section of General Knowledge of Mathematics, which include the topics of the subject of Diferential calculus, then we recommend you answer the IPN Mock Exam where all subjects are included.

This information is applicable to all areas of study regardless of the career you want to study, since sound GENERAL KNOWLEDGE and what you should know about THE SUBJECT OF MATHEMATICS of Differential Calculus Topics.

Table of Contents

IPN 2024 Differential Calculus Simulator Exam

IPN Higher Level Differential Calculus Mock Exam

In many places this type of mock exams They have a cost; However, we have taken on the task of extracting all the questions that can be included in the IPN 2024 ADMISSION EXAM TO ENTER A HIGHER LEVEL and you will be able to fully understand them. FREE.

All the reagents include the justification or explanation of the correct answer, therefore, it will serve as a study to prepare you in the area of Maths in the matter of Diferential calculus.

We hope that with this IPN 2024 Differential Calculus Simulator Exam Reinforce all your knowledge in this subject. All the topics that NATIONAL POLYTECHNIC INSTITUTE IPN included in the original exam you will know them in this IPN Differential Calculus Simulator Exam to which you will have access completely free.

Syllabus Included in the IPN 2024 Differential Calculus Simulator Exam

Syllabus included in the Differential Calculus Exam IPN 2024 Higher level

Here you will know all the Topics of the Differential Calculus subject that are included in the exam for entry to the higher level of the IPN 2024, we recommend that you study them carefully, remember that mathematics is learned by doing the greatest number of exercises.

Functions, Limits and continuity

Inequalities
Domain and Range
Definition of limit
Limit theorems
Limits to infinity
Continuity of a function

Derivative of algebraic and transcendent functions

Definition of derivative
Geometric interpretation
Derivative formulas
Chain rule
Derivation implicit

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Tips for Answering the IPN 2024 Differential Calculus Simulator Exam

Tips for Answering the IPN Higher Level Differential Calculus Simulator Exam

For you to start answering this IPN Differential Calculus Mock Exam We recommend that you follow the following points to the letter so that you get the most out of this information. Always consider pretending that this is your original exam, this way you can mitigate the nerves and stress that comes with answering an exam.

Have white sheets for the exercises.
Have a pencil, eraser and sharpener.
Have time available to answer 50 questions.
Be in a place without distractions or noise.

We know that everyone at some point When taking an exam we get nervous or afraid to doubt whether we will approve it or not, first of all we want to say that don't think about the results, concentrate on each question you are going to answer.

Suggestions to Answer the Higher Level IPN Differential Calculus Exam without Nervous

We want to give you these tips that will be very useful so that you can answer each of the questions that come in the exam as best as possible. follow them to the letter and you will realize that it will be easier for you to answer all the questions.

Answer the IPN 2024 Differential Calculus Simulator Exam

Answers to the IPN Higher Level Differential Calculus Mock Exam

Start responding the FREE IPN Differential Calculus Simulator Exam, consider the time you have allowed, this way you will be able to adapt to the time that they will give you in the Exam when you go to take it, When you answer, you will be shown whether the selected answer is correct with a check mark ✅ and if it is incorrect, it will be marked with an X ❌.

In some questions When the answer is correct you will be given a brief justification why the selected answer is correct, analyze the explanation and acquire the correct knowledge that was taken into account.

Start Answering IPN Differential Calculus Simulator Exam HIGHER LEVEL 2024

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Know Higher Level IPN Mock Exam Questions

This exam contains 50 questions on this subject, some of which are selected to be included in the original Higher Level admission exam.

When starting the exam you will have 1 hour of time to answer, we suggest that you start it when you are ready.

Time Has Run Out to Answer the Exam.

IPN SIMULATION EXAMS OF GENERAL KNOWLEDGE HIGHER LEVEL

General Knowledge of Mathematics Differential Calculus topics

Get ready to start answering the exam, after clicking on START The countdown of the time you have to answer it will be activated, The same system will tell you instantly if your answer was incorrect or correct, In some questions that are correct, it will give you a brief explanation of why your answer is correct, Before moving on to the next question, read this justification to reinforce your knowledge.

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1 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Calculate the domain of the function:

TO) .

B).

C).

D) .

2 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Identify the domain of the function:

TO) .

B).

C).

D) .

3 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Solve the inequality:

TO) .

B).

C).

D) .

4 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Indicate the domain and range of the function from the graph:

TO) .

B).

C).

D) .

5 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Express the solution of the inequality using intervals:

TO) .

B).

C).

D) .

6 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Calculate the domain of the function

TO) .

B).

C).

D) .

7 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Identify the domain and range of the function:

TO) .

B).

C).

D) .

8 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Determine through inequalities the set of real numbers whose distance from 1/2 is greater than 5/2.

TO) .

B).

C).

D) .

9 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Express the domain of the function

TO) .

B).

C).

D) .

10 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Find the numbers a and b, in order to express the interval (1,2) as a solution to an inequality with absolute value of the form:

TO) .

B).

C).

D) .

11 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Determine which of the following figures corresponds to the composite function:

TO) .

B).

C).

D) .

12 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Indicate the interval that satisfies the inequality:

TO) .

B).

C).

D) .

13 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Calculate the values of the following inequality:

TO) .

B).

C).

D) .

14 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Calculate the derivative of the function:

TO) .

B).

C).

D) .

15 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Calculate the following limit:

TO) .

B).

C).

D) .

16 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Calculates

A) 0

B) 1

C) 2

D) 4

17 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Calculate the following limit:

TO) .

B).

C).

D) .

18 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

TO) .

B).

C).

D) .

19 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Calculate the following limit:

A) -1

B) 0

C) 1

D) Infinity

20 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Determine:

A) 0

B) 3

C) 5

D) Infinity

21 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

At what points is the following function not continuous?

A) Only at zero

B) At no point

C) Only in negatives

D) It is continuous at all points

22 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Relate the limit of each function at the given point to its graph.

A) 1A,2C,3D,4B

B) 1A,2C,3B,4D

C) 1B,2A,3D,4C

D) 1B,2C,3A,4D

23 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Which of the following graphs does not belong to a continuous function on the interval (1,3)?

TO) .

B).

C).

D) .

24 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Calculate the derivative of the function:

TO) .

B).

C).

D) .

25 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

The function f(x) defined at [0,1] is continuous in:

A) No point

B) The rational ones

C) The irrational

D) The entire interval

26 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Calculate the limit of the function

A) 0

B) 1

C) Infinity

D) Does not exist

27 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Calculate the derivative of the function:

TO) .

B).

C).

D) .

28 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Calculate the derivative of:

TO) .

B).

C).

D) .

29 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Calculate the derivative of the function

TO) .

B).

C).

D) .

30 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Relate the derivative criterion to the point of the curve at X0

A) 1B,2A,3C

B) 1C,2B,3A

C) 1C,2A,3B

D) 1B,2C,3A

31 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Calculate

A) 0

B) 1

C) 3

D) -3

32 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

TO) .

B).

C).

D) .

33 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Calculate the derivative of the function:

TO) .

B).

C).

D) .

34 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Calculate the derivative of:

TO) .

B).

C).

D) .

35 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Derive the following function when x>0:

TO) .

B).

C).

D) .

36 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

TO) .

B).

C).

D) .

37 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Order the following functions from greatest to least, according to the value of their derivative at the point x=0:

TO) ,

B),

C),

D),

38 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Calculate the limit of the function

TO) .

B).

C).

D) .

39 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

A) 1

B) 2

C) 5

D) 6

40 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Indicate where the asymptotes of the expression are found.

A) 1,4

B) 1,2

C) -2,2

D) -1,4

41 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Indicate the vertical and horizontal asymptotes of the function

A) x=1, y=0

B) x=-1, y=0

C) x=0, y=1

D) x=0, y=-1

42 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Indicate the intervals where the function is continuous

TO) .

B).

C).

D) .

43 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

TO) .

B).

C).

D) .

44 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

TO) .

B).

C).

D) .

45 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Identify the points of discontinuity of the function

TO) .

B).

C).

D) .

46 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Indicate the definition of the derivative of f(x)

TO) .

B).

C).

D) .

47 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

TO) .

B).

C).

D) .

48 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

A) xy=0

B) x+y-2=0

C) 2x-y+1=0

D) 2x+y-3=0

49 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

Indicate what the relative maximum and minimum points of the function are:

TO) .

B).

C).

D) .

50 / 50

Category: IPN - General Knowledge │Mathematics - Differential Calculus

TO) .

B).

C).

D) .

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