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f
(
x
)
=
l
n
(
1
+
e
x
)
f(x) = \rm {ln}(1 + e^x)
f
(
x
)
=
ln
(
1
+
e
x
)
f
′
(
x
)
=
1
1
+
e
−
(
x
)
f^{\prime}(x) = \frac 1 {1 + e^{-({x})}}
f
′
(
x
)
=
1
+
e
−
(
x
)
1