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Problem
Problem
Let
f
(
x
)
f(x)
f
(
x
)
be a fourth differentiable function such that
f
(
2
x
2
−
1
)
=
2
x
f
(
x
)
f(2x^2 - 1) = 2xf(x)
f
(
2
x
2
−
1
)
=
2
x
f
(
x
)
,
∀
x
∈
R
\forall x \in \mathbb{R}
∀
x
∈
R
, then
f
(
i
v
)
(
0
)
f^{(iv)}(0)
f
(
i
v
)
(
0
)
is equal to (where
f
(
i
v
)
(
0
)
f^{(iv)}(0)
f
(
i
v
)
(
0
)
represents fourth derivative of
f
(
x
)
f(x)
f
(
x
)
at
x
=
0
x = 0
x
=
0
) a. 0 b. 1 c. -1 d. data insufficient
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