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Консультация № 185243
Обсуждение
Неизвестный
21.01.2012, 22:44
общий
У вектора y=0, поэтому можем взять только как функцию от x, и взять производную с обратным знаком.
z(x,4)=16x+(4x)^1/3
z'=16+4/3(4x)-2/3
z'(2)=16+4/3*8-2/3=16 1/3
dz/de (M)=-z'(x)=-16 1/3
Спасибо за ссылку, можно по подробнее как взять производную корня третей степени из xy?
z(x,4)=16x+(4x)^1/3
z'=16+4/3(4x)-2/3
z'(2)=16+4/3*8-2/3=16 1/3
dz/de (M)=-z'(x)=-16 1/3
Спасибо за ссылку, можно по подробнее как взять производную корня третей степени из xy?
21.01.2012, 22:50
общий
Мы берем производную по х, а у в таком случае константа.
Производную x1/3 знаете?
Производную x1/3 знаете?
Неизвестный
21.01.2012, 23:06
общий
это ответ
Здравствуйте, Стас!
dz/de=(dz/dx) *dx/de + (dz/dy) *dy/de
dx/de = -1
dy/de = 0
dz/dx = y^2 + y/3*(xy)^(-2/3)
dz/de (M) = -16 1/3
Примечание: задача совпадает с № 185216
dz/de=(dz/dx) *dx/de + (dz/dy) *dy/de
dx/de = -1
dy/de = 0
dz/dx = y^2 + y/3*(xy)^(-2/3)
dz/de (M) = -16 1/3
Примечание: задача совпадает с № 185216
Неизвестный
22.01.2012, 14:51
общий
(4x) в степени-2/3 ??
z'(2)=16+4/3*8-2/3=16 1/3
тут 16+ 4/3 умножить на 8^-2/3 = 16^-2/3, так?
z'(2)=16+4/3*8-2/3=16 1/3
тут 16+ 4/3 умножить на 8^-2/3 = 16^-2/3, так?
Форма ответа
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