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If xy = ex - y then  is equal to

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Detailed Solution

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Concept:

Quotient rule of differentiation:

 

Calculation:

We have xy = ex - y 

Taking log on both sides

⇒ y log x = (x - y) log e

⇒ y log x = x - y

⇒ (log x + 1)y = x

⇒ y = 

Differentiating with respect to x, we get

⇒ 

⇒ 

⇒ 

∴ The correct answer is .

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