6.求下列各函数的函数值:-|||-(1) (x,y)=([ dfrac {arctan (x+y))(arctan (x-y))] }^2 ,求 (dfrac (1+sqrt {3)}(2),dfrac (1-sqrt {3)}(2)) :-|||-(2) (x,y)=dfrac (2xy)({x)^2+(y)^2} ,求 (1,dfrac (y)(x)) :-|||-(3) (x,y)=(x)^2+(y)^2-xytan dfrac (x)(y) ,求f(tx,ty).

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

设函数 (x)=dfrac (4sqrt {3)}(9)arctan (dfrac (2x+1)(sqrt {3)}) ,其反函数为φ(y),求φ(y).。。

1.设 sin y+(e)^x-x(y)^2=0, 求 dfrac (dy)(dx).-|||-2.设 ln sqrt ({x)^2+(y)^2}=arctan

6.讨论下列函数的连续性:-|||-(1) (x,y)=dfrac ({x)^2-(y)^2}({x)^2+(y)^2}-|||-(2) (x,y)=dfrac

求下列函数的自然定义域：(1)y=sqrt(3x+2)；(2)y=dfrac(1)(1-{x)^2}；(3)y=dfrac(1)(x)-sqrt(1-(x)^2

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

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

求下列初值问题的解：(dfrac (1+{x)^2}(2))y=arctan x，(dfrac (1+{x)^2}(2))y=arctan x.（ ）求下列初值

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

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