题目
由方程xy=e^x+y确定的隐函数x=x(y)的导数(dx)/(dy)=()A. (x(y-1))/(y(1-x))B. (y(x-1))/(x(1-y))C. (y(1+x))/(x(y-1))D. (x(1+y))/(y(x-1))
由方程$xy=e^{x+y}$确定的隐函数$x=x(y)$的导数$\frac{dx}{dy}=$()
A. $\frac{x(y-1)}{y(1-x)}$
B. $\frac{y(x-1)}{x(1-y)}$
C. $\frac{y(1+x)}{x(y-1)}$
D. $\frac{x(1+y)}{y(x-1)}$
题目解答
答案
A. $\frac{x(y-1)}{y(1-x)}$