If xmyn=(x+y)m+n,prove that dxdy=xy.

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If {x}^{{m}}{y}^{{n}}={({x}+{y})}^{{{m}+{n}}},prove that {{{.{

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If $x^{m} y^{n} = (x + y)^{m + n},$ prove that $\frac{d y}{d x} = \frac{y}{x}$ .

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

prove that

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

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Question Text

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

prove that

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