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Консультация № 194496
23.01.2019, 18:05
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Обсуждение
26.01.2019, 20:46
общий
это ответ
Здравствуйте, breeze124564!
а) Вычислим производную заданной функции.
Производная равна нулю при
При этом
Методом интервалов установим, что
- если
то 
функция возрастает;
- если
то 
функция убывает;
- если
то функция возрастает;
- если
то функция убывает.
Значит,
-- точка локального минимума, 
-- точка локального максимума, 
-- точка локального минимума заданной функции.
б) Учитывая результаты предыдущего пункта, приходим к выводу. что если
то
Пусть
Тогда
Учитывая результаты предыдущего пункта, приходим к выводу, что
в) Используя уравнение касательной к графику функции, получим
- если
то 
-- уравнение касательной к графику заданной функции при 
- если
то 
-- уравнение касательной к графику заданной функции при 
График, построенный на ресурсе в Интернете, иллюстрирует выполненные вычисления.
а) Вычислим производную заданной функции.
Производная равна нулю при
При этомМетодом интервалов установим, что
- если
то функция возрастает;- если
то функция убывает;- если
то функция возрастает;- если
то функция убывает.Значит,
-- точка локального минимума, -- точка локального максимума, -- точка локального минимума заданной функции.б) Учитывая результаты предыдущего пункта, приходим к выводу. что если
тоПусть
ТогдаУчитывая результаты предыдущего пункта, приходим к выводу, что
в) Используя уравнение касательной к графику функции, получим
- если
то -- уравнение касательной к графику заданной функции при - если
то -- уравнение касательной к графику заданной функции при График, построенный на ресурсе в Интернете, иллюстрирует выполненные вычисления.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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