If x y = y x then dy / dx =

CA Foundation · Quantitative Aptitude · PYQS · May 2026
If x y = y x then dy / dx =
(A) A. y(x log y - y) / x(y log x - x)
(B) B. y(x log y + y) / x(y log x - x)
(C) C. y(x log y - y) / x(y log x + x)
(D) D. x(x log y - y) / y(y log x - x)

Suggested Answer and Working Notes:

Correct Answer: Option (A)

A. y(x log y - y) / x(y log x - x)

Topics: Part-A: Business Mathematics

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