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Mathematics
Problem
Let
y
=
cot
x
y=\cot x
y
=
cot
x
. Which of the following expressions equals
y
(
3
)
y^{(3)}
y
(
3
)
, the third derivative of
y
y
y
with respect to
x
x
x
? a)
−
4
csc
2
x
cot
2
x
+
2
csc
4
x
-4\csc^{2}x\cot^{2}x+2\csc^{4}x
−
4
csc
2
x
cot
2
x
+
2
csc
4
x
b)
−
4
csc
2
x
cot
2
x
−
2
csc
4
x
-4\csc^{2}x\cot^{2}x-2\csc^{4}x
−
4
csc
2
x
cot
2
x
−
2
csc
4
x
c)
4
csc
2
x
cot
2
x
−
2
csc
4
x
4\csc^{2}x\cot^{2}x-2\csc^{4}x
4
csc
2
x
cot
2
x
−
2
csc
4
x
d)
−
2
csc
2
x
cot
2
x
−
4
csc
4
x
-2\csc^{2}x\cot^{2}x-4\csc^{4}x
−
2
csc
2
x
cot
2
x
−
4
csc
4
x
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