已知x^2y+2xy+3=-18 求dy/dx

发布时间:2021-02-26 00:09:04

已知x^2y+2xy+3=-18 求dy/dx

网友回答

x²y+2xy+3=-18
两边同时对x求导得:
2xy+x²dy/dx+2y+2xdy/dx+0=0
2xy+2y+(x²+2x)dy/dx=0
(x²+2x)dy/dx=-(2xy+2y)
dy/dx=-(2xy+2y)/(x²+2x)
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