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MHT CET20227 Aug 2022Evening ShiftMathematicsDifferentiationActual

If e^x+e^y=e^ x+y , then d y d x =

Options

  1. A-e^ y-x
  2. Be^ x-y
  3. C-e^ x-y
  4. De^ y-x

Correct answer

A. -e^ y-x

Step-by-step solution

e^x+e^y=e^ x+y e^x+e^y d y d x =e^ x+y (1+ d y d x ) d y d x = e^x-e^ x+y e^ x+y -e^y = e^x-e^x-e^y e^x+e^y-e^y =- e^y e^x =-e^ y-x

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