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Mathematics
Problem
Differentiate
tan
−
1
1
+
x
2
−
1
−
x
2
1
+
x
2
+
1
−
x
2
\tan^{-1} \frac{\sqrt{1+x^2} - \sqrt{1-x^2}}{\sqrt{1+x^2} + \sqrt{1-x^2}}
tan
−
1
1
+
x
2
+
1
−
x
2
1
+
x
2
−
1
−
x
2
w.r.t.
cos
−
1
x
\cos^{-1} x
cos
−
1
x
.
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