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Problem
Problem
Let
y
=
f
(
x
)
,
f
:
R
→
R
y = f(x), f: R \to R
y
=
f
(
x
)
,
f
:
R
→
R
be an odd differentiable function such that
f
′
′
′
(
x
)
>
0
f'''(x) > 0
f
′′′
(
x
)
>
0
and
g
(
α
,
β
)
=
sin
8
α
+
cos
8
β
+
2
−
4
sin
2
α
cos
2
β
g(\alpha, \beta) = \sin^8 \alpha + \cos^8 \beta + 2 - 4 \sin^2 \alpha \cos^2 \beta
g
(
α
,
β
)
=
sin
8
α
+
cos
8
β
+
2
−
4
sin
2
α
cos
2
β
. If
f
′
′
(
g
(
α
,
β
)
)
=
0
f''(g(\alpha, \beta)) = 0
f
′′
(
g
(
α
,
β
))
=
0
, then
sin
2
α
+
sin
2
β
\sin^2 \alpha + \sin^2 \beta
sin
2
α
+
sin
2
β
is equal to a. 0 b. 1 c. 2 d. 3
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