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MHT CET20249 May 2024Morning ShiftMathematicsDifferentiationActual

Derivative of e ^x w.r.t. x is

Options

  1. Ax e^x
  2. B-2 x
  3. C2 x e ^x
  4. D1 2 x e ^x

Correct answer

C. 2 x e ^x

Step-by-step solution

Let u = e ^x and v = x Differentiating u and v w.r.t. x , we get aligned & du dx = e ^x, dv ~d x = 1 2 x & du dv = du dx dv dx = e ^x 1 2 x =2 e ^x x aligned

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