If $ x^{y}=e^{x-y} $, then $ \frac{d y}{d x} $ is equal to

JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

x^{y}=e^{x-y}

, then

\frac{d y}{d x}

is equal to

View answer and explanation

Correct option: A

\log x \cdot[\log (e x)]^{-2}

Option A is correct because it is the result of logarithmic differentiation and simplification.

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