12th Class Mathematics Sample Paper Maths Olympiad Model Paper-5

  • question_answer
    If \[{{2}^{x}}+{{2}^{y}}={{2}^{x+y}},\] then \[\frac{dy}{dx}=\]

    A)  \[{{2}^{x-y}}\frac{{{2}^{y-1}}}{{{2}^{x-1}}}\]                 

    B)  \[{{2}^{x-y}}\frac{{{2}^{y}}-1}{1-{{2}^{x}}}\]

    C)  \[\frac{{{2}^{x}}+{{2}^{y}}}{{{2}^{x}}-{{2}^{y}}}\]                

    D)  \[{{2}^{x+y}}\frac{{{2}^{y}}+1}{{{2}^{x}}+1}\]

    E)  None of these

    Correct Answer: B


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