Найдите наименьшее значение функции y = 4x -(8sqrt(3)) / 3sin(x) + 2 +(4sqrt(3)) / 3 -(2pi) / 3
Тренировочный вариант 321 от Ларина Задание 12 № задачи в базе 2415
Найдите наименьшее значение функции y= на отрезке
Ответ: 2
Ключевые слова:
Задачи 12 исследование функции Задания ЕГЭ части 2 ЕГЭ по математике 2021 Ларин варианты 321 тренировочный вариант от Ларина Функция Тригонометрия МатАнализ Производная Экстремум
ФИПИ 2024 🔥
ФИПИ 2024 🔥
Примечание:
Найдите наименьшее значение функции y = 4x -(8sqrt(3)) / 3sin(x) + 2 +(4sqrt(3)) / 3 -(2pi) / 3 ! Тренировочный вариант 321 от Ларина Задание 12
Графическое Решение
![Найдите наименьшее значение функции y=`4x-(8sqrt(3))/3sin(x)+2+(4sqrt(3))/3-(2pi)/3` на отрезке `[0; pi].` 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)
