设y等于y(x)是由方程arctany分之x等于ln
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![设y等于y(x)是由方程arctany分之x等于ln](/uploads/image/f/7253422-70-2.jpg?t=%E8%AE%BEy%E7%AD%89%E4%BA%8Ey%28x%29%E6%98%AF%E7%94%B1%E6%96%B9%E7%A8%8Barctany%E5%88%86%E4%B9%8Bx%E7%AD%89%E4%BA%8Eln)
方程两边同时求x对y的导:y+xdy/dx+1/x+2ydy/dx=0,dy/dx=-(y+1/x)/(x+2y),dy=-(y+1/x)dx/(x+2y)
xy+e^y=y+1(1)求d^2y/dx^2在x=0处的值:(1)两边分别对x求导:y+xy'+e^yy'=y'y/y'+x+e^y=1(2)(2)两边对x再求导一次:(y'y'-yy'')/y'^
两边对x求导:y'=(1+y')[sec(x+y)]^2得y'=[sec(x+y)]^2/{1-[sec(x+y)]^2}=1/{[cos(x+y)]^2-1}因此dy=dx/{[cos(x+y)]^
将z对x的偏导记为dz/dx,(不规范,请勿参照)(e^x)-xyz=0两边对x求导数(e^x)'-(xyz)'=0e^x-x'yz-xy(dz/dx)=0e^x-yz-xy(dz/dx)=0xy(d
lny+x/y=0等式两边求导:y'*1/y+1/y+x*y'(-1/y²)=0(1/y-x/y²)y'=-1/y∴y'=(-1/y)/(1/y-x/y²)=-y/(y-
1、两边同时微分,y^3dx+3xy^2dy=dy,sody/dx=(y^3)/(1-3xy^2)2、dy=(e^x)/(1+e^(2x))dx
不就是对x求导吗?把y看成中间变量y=y(x)说明要想导x要通过y这个中间变量两边对x求导:y^3+(3x*y^2)*dy/dx+(e^x)*siny+(e^x)*cosy*dy/dx=1/x下面你自
直接两边对X求导,注意Y是X的函数.所以得:y+xy'=e^(x+y)*(1+y'),化简,代入原方程得:y+xy'=xy(1+y'),然后对得到的式子在此求导,得:y'+y'+xy''=(y+xy'
再答:隐函数高阶求导。再答:
cos(x+y)+y=1两边同时对x求导-(1+y~)sin(x+y)+y~=0可得:=(1+y~)sin(x+y)=sin(x+y)/(1-sin(x+y))
e^z-xyz=0z=㏑x+㏑y+㏑z[偏z偏x]=1/x+(1/z)[偏z偏x](这里y看成常数)[偏z偏x]=(1/x)/{1-(1/z)}=z/[x(z-1)]
(2)△Z=2.1×0.8-2×1dz=Zx·△x+Zy·△y=1×0.1+2×(-02)第一题我在想先
网上有很多高数课后习题答案,你可以下载一个参考~e^y-e^x=xy两边求导,得e^y*y'-e^x=y+xy'(e^y-x)y'=(e^x+y)所以y'=(e^x+y)/(e^y-x)x=0时,原式
分别对y求导,求左边为1+【e^(x+y)×(dx/dy+1)】右边为2×dx/dy推的dx/dy:自己算下,没得草稿纸.
dz=-dx-dy
x^2+xy+y^2=42x+y+y'x+2yy'=0y'=-(2x+y)/(x+2y)在点(2,-2)处的切线斜率=1切线方程为:y+2=x-2,即x-y-4=0
e^x-e^y=sin(xy)e^x-e^y*y'=cos(xy)*(y+xy')y'=(e^x-ycos(xy))/(e^y+xcos(xy))dy=(e^x-ycos(xy))/(e^y+xcos
F(x,y)=x^2+y^2-ln(x+2y)Fx=2x-1/(x+2y)Fy=2y-2/(x+2y)F(x)=-Fx/Fy=-[2x(x+2y)-1]/[2y(x+2y)-2]