If $x^{m } y^n=(x+y)^{n+1}$, then $\frac{d y}{d x}=\ldots \ldots$

JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

x^{m } y^n=(x+y)^{n+1}

, then

\frac{d y}{d x}=\ldots \ldots

View answer and explanation

Correct option: A

\frac{y}{x}

Option A (

\frac{y}{x}

) is correct because differentiating the given equation using logarithms and simplifying leads to dy/dx = y/x.

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