sin(x^2+y^2)=x,求dy

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/06 09:26:56
sin(x^2+y^2)=x,求dy
x)+Ө3Ү3Ҵy)&H~ zBOv,yo =Ϧo*|~}Rp})F)F)ؤ@}dY, -`Y6IM}# @>BPg

sin(x^2+y^2)=x,求dy
sin(x^2+y^2)=x,求dy

sin(x^2+y^2)=x,求dy
sin(x^2+y^2)=x
两边同时求导,得
(x^2+y^2)'cos(x^2+y^2)=dx
(2xdx+2ydy)cos(x^2+y^2)=dx
2xdx+2ydy=dx/cos(x^2+y^2)
2ydy=dx/cos(x^2+y^2)-2xdx
dy=(dx/cos(x^2+y^2)-2xdx)/2y