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Mathematics
Problem
Let
f
(
x
)
=
x
+
tan
−
1
x
f(x)= x + \tan^{-1}x
f
(
x
)
=
x
+
tan
−
1
x
for all real
x
x
x
. How many points of local maxima or minima does
f
f
f
have on
R
\mathbb{R}
R
? a)
2
2
2
b)
0
0
0
c) Infinitely many d)
1
1
1
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