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MHT CET2009MathematicsDifferentiation

Find the derivative of e^ x +e^ y =e^ x+y

Options

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

Correct answer

C. -e^ y-x

Step-by-step solution

e^ x +e^ y =e^ x+y =e^ x e^ y e^ -y +e^ -x =1 On differentiating, we get -e^ -y d y d x +e^ -x (-1)=0 d y d x = e^ -x -e^ -y d y d x =-e^ y-x

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