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) =(e)^-tsin t ;-|||-(5) =sqrt ({a)^2-(x)^2}-|||-(6) =ln (1-(x)^2)-|||-(7) =tan x ;-|||-(8) =dfrac (1)({x)^3+1} =-|||-(9) =(1+(x)^2)arctan x ;-|||-(10) =dfrac ({e)^x}(x) ;

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+x

求下列函数所指定的阶的导数:-|||-(1) =(e)^xcos x, 求y(4);-|||-(2) =(x)^2sin 2x, 求y(50),

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

【题目】已知 y_1(x)=e^x y_2=u(x)e^x 是二阶微分方程 (2x-1)y-(2x+1)y+2y=0 的解若u(-1)=e,u(0)=-1,求

1.求下列函数的二阶导数:-|||-(12) =ln (x+sqrt (1+{x)^2}).

计算给出函数的n导数:-|||-(1) =(e)^xcdot (x)^2-|||-(2) =(x)^2+ln (1+x)+(2)^x

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

【题目】9.求下列函数图形的拐点及凹或凸的区间:(1) y=x^3-5x^2+3x+5 ;(2) y=xe^-x ;(3) y=(x+1)^4+e^x(4) y

3.设f(x)存在,求下列函数的二阶导数 dfrac ({d)^2y}(d{x)^2} =-|||-(1) =f((x)^2) :-|||-(2) =ln [

3.设f"(x)存在,求下列函数的二阶导数 dfrac ({d)^2y}(d{x)^2} =-|||-(1) =f((x)^2) : (2) =ln [ f(x