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derivative of tan^{-1}(1/x)
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d
dx
(
arctan
(
1
x
)
)
=
−
1
1
+
x
2
Show Steps
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d
dx
(
arctan
(
1
x
)
)
=
−
1
1
+
x
2
steps
d
dx
(
arctan
(
1
x
)
)
show steps
Apply
the
chain
rule
:
1
(
1
x
)
2
+
1
d
dx
(
1
x
)
=
1
(
1
x
)
2
+
1
d
dx
(
1
x
)
show steps
d
dx
(
1
x
)
=
−
1
x
2
=
1
(
1
x
)
2
+
1
(
−
1
x
2
)
show steps
Simplify
1
(
1
x
)
2
+
1
(
−
1
x
2
)
:
−
1
1
+
x
2
=
−
1
1
+
x
2
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