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Mathematics
Mathematics
Problem
Let
y
=
ln
(
1
+
cos
x
)
2
y = \ln(1 + \cos x)^2
y
=
ln
(
1
+
cos
x
)
2
, then the value of
d
2
y
d
x
2
+
2
e
y
/
2
\frac{d^2 y}{dx^2} + \frac{2}{e^{y/2}}
d
x
2
d
2
y
+
e
y
/2
2
equals a. 0 b.
2
1
+
cos
x
\frac{2}{1 + \cos x}
1
+
c
o
s
x
2
c.
4
(
1
+
cos
x
)
\frac{4}{(1 + \cos x)}
(
1
+
c
o
s
x
)
4
d.
−
4
(
1
+
cos
x
)
2
\frac{-4}{(1 + \cos x)^2}
(
1
+
c
o
s
x
)
2
−
4
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