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MHT CET202120 Sep 2021Evening ShiftMathematicsDifferentiationActual

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

Options

  1. Ae^ x 4 x
  2. Be^ x 4 x
  3. Ce^ x 2 4 x
  4. De ^ x 2 x

Correct answer

C. e^ x 2 4 x

Step-by-step solution

aligned & 2 y= x e 2 y= x & 2 y d y d x = 1 2 x d y d x =y [ 1 4 x ]= e^ x 4 x aligned Taking on both sides, 2 y = x e 2 y = x Differentiating both sides w.r.t. x , we get 2 y d y d x = 1 2 x d y d x =y [ 1 4 x ]= e^ x 4 x

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