1.求下列函数的高阶偏导数:-|||-(1) =(x)^4+(y)^4-4(x)^2(y)^2 ,所有二阶偏导数;-|||-(2) =(e)^x(cos y+xsin y) ,所有二阶偏导数;-|||-(3) =xln (x,y) dfrac ({a)^3z}(d{x)^2dy} dfrac ({a)^3z}(axa{y)^2} =-|||-(4) =xyz(e)^x+y+z,dfrac ({partial )^p+q+r}(partial {x)^2partial (y)^9partial z} =-|||-(5) =f(x(y)^2,(x)^2y) ,所有二阶偏导数;-|||-(6) =f((x)^2+(y)^2+(z)^2) ,所有二阶偏导数;-|||-(7) =f(x+y,xy,dfrac (x)(y)) ,zx,z(xx,zxy)

设=f(sin y,(e)^x+y) , 且=f(sin y,(e)^x+y)具有二阶连续偏导数, 求二阶偏导数=f(sin y,(e)^x+y).设,且具有二

例1 求函数 =(e)^x+2y 的所有二阶偏导数和 dfrac ({a)^3z}(partial ypartial {x)^2}

1.求函数的二阶导数:-|||-(1)y=2(x)^2+ln x;-|||-(2)y=(e)^2x-1,-|||-(3) =xcos x ;-|||-(4) =

已知函数z=f(e^y ,x^2y)，其中z=f(e^y ,x^2y)具有二阶连续偏导数，求z=f(e^y ,x^2y)。已知函数，其中具有二阶连续偏导数，求。

1.求下列各函数的一阶偏导数:-|||-(1) =(x)^2ln ((x)^2+(y)^2);

164 设f(x,y)有二阶连续偏导数, (x,y)=f((e)^xy,(x)^2+(y)^2), 且 f(x,y)=1-x-y+-|||-(sqrt ({(x

设f具有二阶连续偏导数, =xf(x,dfrac (y)(x)), 求 dfrac ({partial )^2z}(partial xpartial y)

4.求由参数方程 及二阶导数 dfrac {{d)^2y}(d{x)^2}

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

(3)已知函数 =f(xy,(e)^x+y) ,且f(x,y)具有二阶连续偏导数.则-|||-dfrac ({partial )^2z}(partial xpa