differentiation

Question: If ${2^x} + {2^y} = {2^{x + y}}$, then $\frac{{dy}}{{dx}} = $

1) ${2^{x - y}}\frac{{{2^y} - 1}}{{{2^x} - 1}}$

2) ${2^{x - y}}\frac{{{2^y} - 1}}{{1 - {2^x}}}$

3) $\frac{{{2^x} + {2^y}}}{{{2^x} - {2^y}}}$

4) None of these

Solution:

Explanation: Explanation

Implicit-function

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