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Mathematics
Mathematics
Problem
If
y
=
x
a
+
x
b
+
x
a
+
…
∞
y = \frac{x}{a + \frac{x}{b + \frac{x}{a + \dots \infty}}}
y
=
a
+
b
+
a
+
…
∞
x
x
x
, then
d
y
d
x
\frac{dy}{dx}
d
x
d
y
equals a.
a
a
b
+
2
a
y
\frac{a}{ab+2ay}
ab
+
2
a
y
a
b.
b
a
b
+
2
b
y
\frac{b}{ab+2by}
ab
+
2
b
y
b
c.
a
a
b
+
2
b
y
\frac{a}{ab+2by}
ab
+
2
b
y
a
d.
b
a
b
+
2
a
y
\frac{b}{ab+2ay}
ab
+
2
a
y
b
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