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Консультация № 191529
25.10.2017, 11:32
0.00 руб.
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2
2
Здравствуйте! Прошу помощи в следующем вопросе:Найти наименьшее и наибольшее значение функции f(x) = 3/2x - sinx на промежутке [0 ; П/2]
Обсуждение
25.10.2017, 11:47
общий
это ответ
Здравствуйте, olja_12111983!
Находим производную функции:
Находим стационарные(критические) точки:
Уравнение не имеет корней, так как
, а 
Находим значения функции в концах отрезка
:
Ответ:
, 
Находим производную функции:
Находим стационарные(критические) точки:
Уравнение не имеет корней, так как
, а Находим значения функции в концах отрезка
:Ответ:
,
5
25.10.2017, 12:18
общий
это ответ
Здравствуйте, olja_12111983!
Продифференцируем заданную функцию:
Приравнивая производную нулю, получим
Поскольку
постольку уравнение 
не имеет решения. Значит, функция не имеет экстремумов.
Вычислим значения функции на концах промежутка:
Итак, f(наим)=f(0)=0, f[sub]наиб[/sub]=f([$960$]/2)[$8776$]1,36.
Продифференцируем заданную функцию:
Приравнивая производную нулю, получим
Поскольку
постольку уравнение не имеет решения. Значит, функция не имеет экстремумов.Вычислим значения функции на концах промежутка:
Итак, f(наим)=f(0)=0, f[sub]наиб[/sub]=f([$960$]/2)[$8776$]1,36.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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