Re: [微分] 隱函數?
: 原題是 y^3-xy^2+cos(xy)=2 dy/dx at the point (0,1)
3 2 dy
y - xy + cos(xy) = 2 求 ---- at the point (0，1)
dx
(sol)
by Implicit Differentiation
d 3 2 d
--- (y -xy + cos(xy)) = --- (2)
dx dx
2 dy 2 dy dy
=> 3y‧ --- - y - 2xy--- - sin(xy)*(y+x ---) = 0
dx dx dx
2
dy y + ysin(xy)
=> ---- = ------------------
dx 2
3y - 2xy -xsin(xy)
令(x，y)=(0，1)代入上式
dy 1
--- = -----
dx 3
--
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http://tinyurl.com/qf8db
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