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Консультация № 109830
Обсуждение
Неизвестный
17.11.2007, 12:56
общий
это ответ
Здравствуйте, Kamelia26!
Производная неявной функции находится по формуле
y‘=-F‘(x)/F‘(y)
где F = x^y-y^x
F‘(x) - производная по x
F‘(y) - производная по y
F‘(x) = y * x^(y-1) - [lny] * [y^x]
F‘(y) = [lnx] * [x^y] - x * y^(x-1)
y‘=-F‘(x)/F‘(y) = ([lny] * [y^x] - y * x^(y-1)) / ([lnx] * [x^y] - x * y^(x-1))
Производная неявной функции находится по формуле
y‘=-F‘(x)/F‘(y)
где F = x^y-y^x
F‘(x) - производная по x
F‘(y) - производная по y
F‘(x) = y * x^(y-1) - [lny] * [y^x]
F‘(y) = [lnx] * [x^y] - x * y^(x-1)
y‘=-F‘(x)/F‘(y) = ([lny] * [y^x] - y * x^(y-1)) / ([lnx] * [x^y] - x * y^(x-1))
Форма ответа
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