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Mathematics
Mathematics
Problem
If
y
=
x
2
+
1
+
x
2
−
1
x
2
+
1
−
x
2
−
1
y = \frac{\sqrt{x^2+1} + \sqrt{x^2-1}}{\sqrt{x^2+1} - \sqrt{x^2-1}}
y
=
x
2
+
1
−
x
2
−
1
x
2
+
1
+
x
2
−
1
, then
d
y
d
x
=
\frac{dy}{dx} =
d
x
d
y
=
(a)
2
x
+
2
x
3
x
4
−
1
2x + \frac{2x^3}{\sqrt{x^4-1}}
2
x
+
x
4
−
1
2
x
3
(b)
2
x
+
x
3
x
4
−
1
2x + \frac{x^3}{\sqrt{x^4-1}}
2
x
+
x
4
−
1
x
3
(c)
x
+
2
x
3
x
4
−
1
x + \frac{2x^3}{\sqrt{x^4-1}}
x
+
x
4
−
1
2
x
3
(d) None of these
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