АвтоАвтоматизацияАрхитектураАстрономияАудитБиологияБухгалтерияВоенное делоГенетикаГеографияГеологияГосударствоДомДругоеЖурналистика и СМИИзобретательствоИностранные языкиИнформатикаИскусствоИсторияКомпьютерыКулинарияКультураЛексикологияЛитератураЛогикаМаркетингМатематикаМашиностроениеМедицинаМенеджментМеталлы и СваркаМеханикаМузыкаНаселениеОбразованиеОхрана безопасности жизниОхрана ТрудаПедагогикаПолитикаПравоПриборостроениеПрограммированиеПроизводствоПромышленностьПсихологияРадиоРегилияСвязьСоциологияСпортСтандартизацияСтроительствоТехнологииТорговляТуризмФизикаФизиологияФилософияФинансыХимияХозяйствоЦеннообразованиеЧерчениеЭкологияЭконометрикаЭкономикаЭлектроникаЮриспунденкция

Investigation of the function. Extremum of the function. Convexity, concavity and point of inflection. Asymptotes

Читайте также:
  1. Asymptotes
  2. Classification of Discontinuity Points
  3. Convexity and concavity. Point of inflection
  4. FIRE CAUSES. INVESTIGATION OF FIRES
  5. Function. The function limit. Fundamental theorems on limits
  6. II. Objections to Biological Naturalism from the Point of View of the Philosophical Tradition
  7. Monotonic conditions. Extremum of function
  8. Narrative Point of View
  9. Point out countable nouns by using an indefinite article.
  10. Point out the most important factors in choosing your future job.
  11. Point Transformations

Theoretical questions:

1. L’Hospital’s Rule;

2. Monotonic conditions. Extremum of function;

3. Convexity and concavity. Point of inflection;

4. Аsymptotes;

5. Scheme of investigation of function and charting.

 

Classroom assignments:

1. Find the limits using L'Hospital's rule:

1. 2. 3. 4. 5. 6. 7. 8. 9.

2. Conduct a complete investigation of the functions and construct their graphs: 1. 2.

3. Describe the concavity of the graph of for .

4. Find and so that the function has a point of inflection at .

5. Find the domain and all asymptotes of the following function: .

6. Find the maximum and minimum values of on the interval [0, 5].

Homework:

Theoretical material: Functions of several variables and main properties. Partial derivatives and differentials.

Solve problems:

1. Find the limits using L'Hospital's rule:

1. 2. 3. 4.

2. Conduct a complete investigation of the functions and construct their graphs: 1.

2. .

3. Find the domain and all asymptotes of the following function: .

4. Find the domain and all asymptotes of the following function: .

5. Find the maximum and minimum values of on the interval [-2, 1].

6. Find the maximum and minimum values of on the interval .


1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |

Поиск по сайту:



Все материалы представленные на сайте исключительно с целью ознакомления читателями и не преследуют коммерческих целей или нарушение авторских прав. Студалл.Орг (0.005 сек.)