If xʸ = e^(x − y), what is dy/dx?
If xʸ = e^(x − y), what is dy/dx?
- A. log x / (1 + log x)²
- B. (1 + log x)² / log x
- C. 1 / (1 + log x)²
- D. log x / (1 + log x)
Answer: A) log x / (1 + log x)²
Explanation: Take log: y log x = x − y → y(1 + log x) = x → y = x / (1 + log x). By quotient rule, dy/dx = (1 + log x − x(1/x)) / (1 + log x)² = log x / (1 + log x)².
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