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Консультация № 197581
15.01.2020, 12:31
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Найти наибольшее и наименьшее значение функции y=y(x) на отрезке [a,b]
Пример: x^2/2x-3 где a=(-2), b= 1
Найти наибольшее и наименьшее значение функции y=y(x) на отрезке [a,b]
Пример: x^2/2x-3 где a=(-2), b= 1
Обсуждение
16.01.2020, 05:44
общий
Адресаты:
Эксперты не решают Вашу задачу, потому что Вы написали Условие неряшливо/двусмысленно .
Если Ваше x^2/2x = x/2 , то надо понимать, будто y(x) = x/2 - 3
Вероятно, Вам задали пример x^2/(2·x-3) ?
- верно?
Если Ваше x^2/2x = x/2 , то надо понимать, будто y(x) = x/2 - 3
Вероятно, Вам задали пример x^2/(2·x-3) ?
- верно?
27.07.2022, 15:32
общий
это ответ
Здравствуйте, rachyova95@list.ru!
Критическими точками заданной функции являются точка
в которой функция не определена ввиду того, что знаменатель выражения, которым задана функция, в этой точке равен нулю, и точки, в которых производная функции равна нулю. Вычислим производную функции, приравняем её к нулю и решим полученное уравнение относительно неизвестной 
Стало быть, помимо точки критическими точками заданной функции являются 
и 
Из них лишь точка принадлежит заданному отрезку 
Вычислим значения функции в этой точке и на концах заданного отрезка.
Следовательно,
-- наименьшее значение функции на заданном отрезке, 
-- наибольшее значение функции на заданном отрезке.
Соответствующий график показан в прикреплённом файле.
Критическими точками заданной функции являются точка
в которой функция не определена ввиду того, что знаменатель выражения, которым задана функция, в этой точке равен нулю, и точки, в которых производная функции равна нулю. Вычислим производную функции, приравняем её к нулю и решим полученное уравнение относительно неизвестной Стало быть, помимо точки
критическими точками заданной функции являются и Из них лишь точка принадлежит заданному отрезку Вычислим значения функции в этой точке и на концах заданного отрезка.Следовательно,
-- наименьшее значение функции на заданном отрезке, -- наибольшее значение функции на заданном отрезке.Соответствующий график показан в прикреплённом файле.
Прикрепленные файлы:
Об авторе:
Facta loquuntur.
Facta loquuntur.
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