作者JULIKEBEN (啾西)
看板trans_math
标题Re: [微分] xy=tan(xy)
时间Fri Dec 12 14:50:44 2008
dy 2 dy
y+ ---- x = sec (xy) (y+ ---- x)
dx dx
dy 2 2
---(x-xsec (xy)) = ysec (xy)-y
dx
2
dy y(sec (xy)-1 ) y
--- = ---------------- = - -----
dx 2 x
-x(sec (xy)-1)
dy
2 ---- x - y
d y dx 2y
---- = - ----------- = ----------
2 x^2 x^2
dx
dy
3 2 ----(x^2) - 2y(2x)
d y dx
----- = ---------------------
3
dx x^4
-2xy -4xy -6y
= ------------- = ----------
x^4 x^3
应该是这样吧
有错请指教^^
※ 引述《cloistrevoc (convert)》之铭言:
: xy=tan(xy)
: 1求dy/dx
: 2求d^2y/dx^2
: 3求d^3y/dx^3
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※ 发信站: 批踢踢实业坊(ptt.cc)
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