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Question: Answered & Verified by Expert
If $x>0, x^y=e^{x-y}$, then $\frac{d y}{d x}$ is equal to
MathematicsDifferentiationAP EAMCETAP EAMCET 2004
Options:
  • A $\frac{1}{(1+\log x)^2}$
  • B $\frac{\log x}{(1+\log x)^2}$
  • C $\left(\frac{\log x}{1+\log x}\right)^2$
  • D $\frac{(\log x)^2}{1+\log x}$
Solution:
1743 Upvotes Verified Answer
The correct answer is: $\frac{\log x}{(1+\log x)^2}$
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