If yx=ey−x,prove that dxdy=logy(1+logy)2

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If {y}^{{x}}={e}^{{{y}-{x}}},prove that {{{.{d}{y}.}}}{{{.{d}{

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If $y^{x} = e^{y - x},$ prove that $\frac{d y}{d x} = \frac{( 1 + lo g y ) ^{2}}{lo g y}$

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Oliver Discussed

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

prove that

\frac{d y}{d x} = \frac{( 1 + lo g y ) ^{2}}{lo g y}

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Question Text

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

prove that

\frac{d y}{d x} = \frac{( 1 + lo g y ) ^{2}}{lo g y}