Question

求y=e^x/(e^x+1)反函数

y=e^x/(e^x+1)
请问如何由y(e^x+1) =e^x
至e^x(1-y) = y

Answer 1

如图所示：

Answer 2

函数y=e^x/(e^x+1)的反函数，求详细过程 y=e^x/(e^x+1)y(e^x+1) =e^xe^x(1-y) = y x = ln[ y/(1-y)]反函数y = ln[ x/(1-x)]请采纳。

Answer 3

函数y=e^x/(e^x+1)的反函数，求详细过程 y=e^x/(e^x+1)y(e^x+1) =e^xe^x(1-y) = y x = ln[ y/(1-y)]反函数y = ln[ x/(1-x)]请采纳。

Answer 4

函数y=e^x/(e^x+1)的反函数，求详细过程 y=e^x/(e^x+1)y(e^x+1) =e^xe^x(1-y) = y x = ln[ y/(1-y)]反函数y = ln[ x/(1-x)]请采纳。

Answer 5

y = e^x/(e^x+1), y(e^x+1) = e^x, ye^x+y = e^x
e^x = y/(1-y) , x = ln[y/(1-y)], 反函数 y = ln[x/(1-x)]