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Mathematics
Mathematics
Problem
If
y
=
(
x
+
x
2
+
a
2
)
n
y = (x + \sqrt{x^2 + a^2})^n
y
=
(
x
+
x
2
+
a
2
)
n
, then
d
y
d
x
\frac{dy}{dx}
d
x
d
y
is (a)
n
y
x
2
+
a
2
\frac{ny}{\sqrt{x^2 + a^2}}
x
2
+
a
2
n
y
(b)
−
n
y
x
2
+
a
2
-\frac{ny}{\sqrt{x^2 + a^2}}
−
x
2
+
a
2
n
y
(c)
n
x
x
2
+
a
2
\frac{nx}{\sqrt{x^2 + a^2}}
x
2
+
a
2
n
x
(d)
−
n
x
x
2
+
a
2
-\frac{nx}{\sqrt{x^2 + a^2}}
−
x
2
+
a
2
n
x
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