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Mathematics
Mathematics
Problem
If
y
=
tan
−
1
1
+
x
2
+
1
−
x
2
1
+
x
2
−
1
−
x
2
y = \tan^{-1} \frac{\sqrt{1+x^2} + \sqrt{1-x^2}}{\sqrt{1+x^2} - \sqrt{1-x^2}}
y
=
tan
−
1
1
+
x
2
−
1
−
x
2
1
+
x
2
+
1
−
x
2
,
−
1
<
x
<
1
-1 < x < 1
−
1
<
x
<
1
, then
d
y
d
x
\frac{dy}{dx}
d
x
d
y
equals-
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