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Mathematics
Problem
Calculate the derivative of
f
(
x
)
=
arctan
x
f(x)=\arctan x
f
(
x
)
=
arctan
x
. a)
x
1
+
x
2
\dfrac{x}{1+x^{2}}
1
+
x
2
x
b)
sec
2
x
\sec^{2}x
sec
2
x
c)
1
1
+
x
2
\dfrac{1}{1+x^{2}}
1
+
x
2
1
d)
1
1
−
x
2
\dfrac{1}{\sqrt{1-x^{2}}}
1
−
x
2
1
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