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Mathematics
Problem
If
f
(
x
)
=
a
+
a
2
−
x
2
a
2
−
x
2
+
a
−
x
f(x) = \frac{a + \sqrt{a^2 - x^2}}{\sqrt{a^2 - x^2} + a - x}
f
(
x
)
=
a
2
−
x
2
+
a
−
x
a
+
a
2
−
x
2
, where
a
>
0
a > 0
a
>
0
and
x
<
a
x < a
x
<
a
, then
f
′
(
0
)
f'(0)
f
′
(
0
)
has the value equal to a.
a
\sqrt{a}
a
b.
a
a
a
c.
1
a
\frac{1}{\sqrt{a}}
a
1
d.
1
a
\frac{1}{a}
a
1
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