Calculus 1 Quiz
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APPLICATIONS OF DERIVATIVES: ANALYTICAL
Question 1
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Determine the interval on which the function
f
(
x
)
=
arctan
(
x
)
−
1
2
ln
(
1
+
x
2
)
f(x) = \arctan(x) - \frac{1}{2}\ln(1+x^2)
f
(
x
)
=
arctan
(
x
)
−
2
1
ln
(
1
+
x
2
)
is increasing.
A
(
1
,
∞
)
(1, \infty)
(
1
,
∞
)
B
(
−
∞
,
1
)
(-\infty, 1)
(
−
∞
,
1
)
C
(
0
,
∞
)
(0, \infty)
(
0
,
∞
)
D
(
−
∞
,
0
)
(-\infty, 0)
(
−
∞
,
0
)
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