y=y(x)的导数dy/dx 求 XY=e的X+Y次方?

问题描述:

y=y(x)的导数dy/dx 求 XY=e的X+Y次方?

ann²+xn0x>-(2n+1)
数列则n≥1
2n+1≥3
-(2n+1)≤-3
所以x>-31515

对x求导
y+x*y'=e^(x+y)*(1+y')
y+x*y'=e^(x+y)+e^(x+y)*y'
所以dy/dx=[e^(x+y)-y]/[x-e^(x+y)]