If \( 2^{x}+2^{y}=2^{x+y} \), then \( \frac{d y}{d x} \) is equal t...

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If \( 2^{x}+2^{y}=2^{x+y} \), then \( \frac{d y}{d x} \) is equal to
\( \mathrm{P} \)
W
(A) \( \frac{\left(2^{x}+2^{y}\right)}{\left(2^{x}-2^{y}\right)} \)
(B) \( \frac{\left(2^{x}+2^{y}\right)}{\left(1+2^{x+y}\right)} \)
(C) \( 2^{x-y}\left(\frac{2^{y}-1}{1-2^{x}}\right) \)
(D) \( \frac{2^{x+y} 2^{x}}{2^{y}} \)
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