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derivative of (1-x^2/(1+x^2))
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d
dx
(
1
−
x
2
1
+
x
2
)
=
−
4
x
(
1
+
x
2
)
2
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d
dx
(
1
−
x
2
1
+
x
2
)
=
−
4
x
(
1
+
x
2
)
2
steps
d
dx
(
1
−
x
2
1
+
x
2
)
Apply
the
Quotient
Rule
:
(
f
g
)
′
=
f
′
·
g
−
g
′
·
f
g
2
=
d
dx
(
1
−
x
2
)
(
1
+
x
2
)
−
d
dx
(
1
+
x
2
)
(
1
−
x
2
)
(
1
+
x
2
)
2
show steps
d
dx
(
1
−
x
2
)
=
−
2
x
show steps
d
dx
(
1
+
x
2
)
=
2
x
=
(
−
2
x
)
(
1
+
x
2
)
−
2
x
(
1
−
x
2
)
(
1
+
x
2
)
2
show steps
Simplify
(
−
2
x
)
(
1
+
x
2
)
−
2
x
(
1
−
x
2
)
(
1
+
x
2
)
2
:
−
4
x
(
1
+
x
2
)
2
=
−
4
x
(
1
+
x
2
)
2
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