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Mathematics
Mathematics
Problem
If
d
d
x
(
f
(
x
)
)
=
e
−
x
f
(
x
)
+
e
x
f
(
−
x
)
\frac{d}{dx}\bigl(f(x)\bigr) = e^{-x} f(x) + e^x f(-x)
d
x
d
(
f
(
x
)
)
=
e
−
x
f
(
x
)
+
e
x
f
(
−
x
)
, then
f
(
x
)
f(x)
f
(
x
)
is, (given
f
(
0
)
=
0
f(0) = 0
f
(
0
)
=
0
) a. an even function b. an odd function c. neither even nor odd function d. can't say
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