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Mathematics
Mathematics
Problem
If
2
x
+
2
y
=
2
x
+
y
2^x + 2^y = 2^{x+y}
2
x
+
2
y
=
2
x
+
y
, then
d
y
d
x
\frac{dy}{dx}
d
x
d
y
is equal to a.
−
2
y
2
x
-\frac{2^y}{2^x}
−
2
x
2
y
b.
1
1
−
2
x
\frac{1}{1-2^x}
1
−
2
x
1
c.
1
−
2
y
1-2^y
1
−
2
y
d.
2
x
(
1
−
2
y
)
2
y
(
2
x
−
1
)
\frac{2^x(1-2^y)}{2^y(2^x-1)}
2
y
(
2
x
−
1
)
2
x
(
1
−
2
y
)
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