1.设 sin y+(e)^x-x(y)^2=0, 求 dfrac (dy)(dx).-|||-2.设 ln sqrt ({x)^2+(y)^2}=arctan dfrac (y)(x), 求 dfrac (dy)(dx).-|||-3.设 +2y+z-2sqrt (xyz)=0, 求 dfrac (partial x)(partial x) 及 dfrac (partial z)(partial y).-|||-4.设 dfrac (x)(z)=ln dfrac (z)(y), 求 dfrac (partial z)(partial x) 及 dfrac (partial z)(partial y).-|||-5.设 sin (x+2y-3z)=x+2y-3z, 证明: dfrac (partial z)(partial x)+dfrac (partial z)(partial y)=1.-|||-6.设 ^z-xyz=0, 求 dfrac ({sigma )^2z}(q{x)^2}-|||-7.设 ^3-3xyz=(a)^3, 求 dfrac ({partial )^2z}(partial xpartial y).

1.设 sin y+(e)^x-x(y)^2=0 ,求 dfrac (dy)(dx) .

14.下列方程确定了y是x的函数,求 dfrac (dy)(dx)-|||-(1) sin y+(e)^x-x(y)^2=0;-|||-(2) ln sqrt

求ln sqrt ({x)^2+(y)^2}=arctan dfrac (y)(x)的导数(dy)/(dx).求的导数$\frac{dy}{dx}$.

1.求下列复合函数的偏导数或导数:-|||-(1)设 =arctan (xy) ,y=e^x, 求 dfrac (dx)(dx)-|||-(2)设 =dfrac

[题目]函数 y=y(x) 由方程 sin ((x)^2+(y)^2)+(e)^x-x(y)^2=0 所-|||-确定,则 dfrac (dy)(dx)= __

(6) arctan dfrac (y)(x)=ln sqrt ({x)^2+(y)^2}

dfrac (dy)(dx)=(x)^2+(y)^2 B . dfrac (dy)(dx)=(x)^2+(y)^2 C .dfrac (dy)(dx)=(x)^

求微分方程dfrac (dy)(dx)=dfrac (y-sqrt {{x)^2+(y)^2}}(x)的通解.(此题总分值6分)求微分方程的通解.

设(X,Y)的分布函数为(x,y)=dfrac (1)({pi )^2}(dfrac (pi )(2)+arctan dfrac (x)(2))(dfrac (

求下列复合函数的偏导数或导数:-|||-(1)设 =arctan (xy) ,y=e^x, 求 dz/dx;-|||-(2)设 =dfrac ({x)^2+(y