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Консультация № 199966
23.12.2020, 00:40
0.00 руб.
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Здравствуйте! У меня возникли сложности с таким вопросом:
Найти производную третьего порядка f(x1, x2, x3)
Найти производную третьего порядка f(x1, x2, x3)
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Обсуждение
27.12.2020, 10:46
общий
это ответ
Здравствуйте, ohitsadump!
Производная булевой функции f(x[sub]1[/sub],...,x[sub]n[/sub]) по переменной x[sub]i[/sub] определяется как
В данном случае
так как дифференцируемая функция не зависит от x[sub]3[/sub]. Для производных 2-го порядка
(дифференцируемая функция не зависит от x[sub]1[/sub]) и аналогично,
Смешанные производные 2-го порядка:
Так как все производные 2-го порядка не зависят от переменных x[sub]1[/sub], x[sub]2[/sub], x[sub]3[/sub], то все производные 3-го порядка равны 0.
Производная булевой функции f(x[sub]1[/sub],...,x[sub]n[/sub]) по переменной x[sub]i[/sub] определяется как
В данном случае
так как дифференцируемая функция не зависит от x[sub]3[/sub]. Для производных 2-го порядка
(дифференцируемая функция не зависит от x[sub]1[/sub]) и аналогично,
Смешанные производные 2-го порядка:
Так как все производные 2-го порядка не зависят от переменных x[sub]1[/sub], x[sub]2[/sub], x[sub]3[/sub], то все производные 3-го порядка равны 0.
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