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Консультация № 182372
04.03.2011, 10:31
275.74 руб.
04.03.2011, 10:43
0
4
1
Здравствуйте, уважаемые эксперты! помогите в решение трех заданий по математике.
Обсуждение
04.03.2011, 11:17
общий
это ответ
Здравствуйте, Посетитель - 360475!
1) Предел равен 0, так как в знаменателе находится константа, а числитель в х=0 обращается в 0.
2)
Проверяем также на концах отрезка:
Глобальный минимум равен -1/11
Глобальный максимум равен 0,4
3)
Функция имеет разрыв в точке х=2:
Исходя из ОДЗ, функция не может быть ни парной, ни непарной.
На интервале от минус бесконечности до 0 функция возрастает (производная больше 0)
На интервале от 0 до 4 функция убывает (производная меньше 0)
На интервале от 4 до бесконечности функция возрастает (производная больше 0)
Соответственно х=0 - точка максимума (f(0)=0), х=4 - точка минимума (f(4)=8)
Точек перегиба нет.
Асимптоты на бесконечностях:
y=x+2 - наклонная асимптота
1) Предел равен 0, так как в знаменателе находится константа, а числитель в х=0 обращается в 0.
2)
Проверяем также на концах отрезка:
Глобальный минимум равен -1/11
Глобальный максимум равен 0,4
3)
Функция имеет разрыв в точке х=2:
Исходя из ОДЗ, функция не может быть ни парной, ни непарной.
На интервале от минус бесконечности до 0 функция возрастает (производная больше 0)
На интервале от 0 до 4 функция убывает (производная меньше 0)
На интервале от 4 до бесконечности функция возрастает (производная больше 0)
Соответственно х=0 - точка максимума (f(0)=0), х=4 - точка минимума (f(4)=8)
Точек перегиба нет.
Асимптоты на бесконечностях:
y=x+2 - наклонная асимптота
5
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