求导数,y=1+xe^y,求dy/dx
举一反三
- 输入Mathstudio命令。已知求隐函数的导数指令为idiff(f(x,y),y,x)，求隐函数F(x,y)=y^2-y-x=0的导数dy/dx，求导命令为
- 求函数的导数dy/dx,和微分dy:y=x√1-x
- 求方程Dy/Dx=y(y-1),y(0)=1的解
- 隐函数求导ye^x+lny=1,求dy/dx,
- 函数\(z = {x^y}\)的全微分为 A: \(dz = y{x^{y - 1}}dy + {x^y}\ln xdx\) B: \(dz = y{x^{y - 1}}dx + {x^y}dy\) C: \(dz = y{x^{y - 1}}dx + {x^y}\ln xdy\) D: \(dz = y{x^{y - 1}}dy + {x^y}dx\)