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Консультация № 196770
23.10.2019, 00:19
0.00 руб.
27.10.2019, 09:53
1
3
1
Здравствуйте! У меня возникли сложности с таким вопросом:
помогите пожалуйста с решением и графиком
Рассчитать наибольшее и наименьшее значения функции
на заданном отрезке 
помогите пожалуйста с решением и графиком
Рассчитать наибольшее и наименьшее значения функции
на заданном отрезке
Прикрепленные файлы:
Обсуждение
26.10.2019, 22:18
общий
это ответ
Здравствуйте, Гаяна!
Воспользуемся методикой решения таких задач, изложенной на страницах 208 -- 209 пособия [1].
Заданная функция непрерывна на всей числовой оси. Производная функции
равна нулю при
(критические точки заданной функции). Из этих точек 
не принадлежит заданному отрезку.
Вычислим значения функции в критических точках, которые принадлежат заданному отрезку; получим
Вычислим значения функции на правом конце заданного отрезка; получим
Следовательно, наибольшее значение функции равно
при 
наименьшее значение функции равно 
при 
График функции для заданного отрезка показан в прикреплённом файле.
Литература
1. Баранова Е., Васильева Н., Федотов В. Практическое пособие по высшей математике. Типовые расчёты. -- СПб.: Питер, 2013. -- 400 с.
Воспользуемся методикой решения таких задач, изложенной на страницах 208 -- 209 пособия [1].
Заданная функция непрерывна на всей числовой оси. Производная функции
равна нулю при
(критические точки заданной функции). Из этих точек не принадлежит заданному отрезку.Вычислим значения функции в критических точках, которые принадлежат заданному отрезку; получим
Вычислим значения функции на правом конце заданного отрезка; получим
Следовательно, наибольшее значение функции равно
при наименьшее значение функции равно при График функции для заданного отрезка показан в прикреплённом файле.
Литература
1. Баранова Е., Васильева Н., Федотов В. Практическое пособие по высшей математике. Типовые расчёты. -- СПб.: Питер, 2013. -- 400 с.
Прикрепленные файлы:
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
27.10.2019, 06:57
общий
Извините за беспокойство! Предлагаю дополнить сообщение, открывающее консультацию, текстом задания, который я набрал ниже.
Рассчитать наибольшее и наименьшее значения функции на заданном отрезке
Рассчитать наибольшее и наименьшее значения функции
на заданном отрезке
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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