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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
arccos
(
2
x
)
f(x)=\arccos(2x)
f
(
x
)
=
arccos
(
2
x
)
. What is
f
′
(
1
3
)
f'(\tfrac{1}{3})
f
′
(
3
1
)
? Express your answer exactly. a)
−
3
5
-\dfrac{3}{\sqrt{5}}
−
5
3
b)
6
5
\dfrac{6}{\sqrt{5}}
5
6
c)
−
6
5
-\dfrac{6}{\sqrt{5}}
−
5
6
d)
−
6
7
-\dfrac{6}{\sqrt{7}}
−
7
6
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