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MHT CET202211 Aug 2022Morning ShiftMathematicsDifferentiationActual

For x>1 , if (2 x)^ 2 y =4 e^ 2 x-2 y , then (1+ _e 2 x )^2 d y ~d x is equal to

Options

  1. Ax _ e 2 x
  2. B_e 2 x
  3. Cx _ e 2 x+ _ e 2 x
  4. Dx _ e 2 x- _ e 2 x

Correct answer

D. x _ e 2 x- _ e 2 x

Step-by-step solution

(2 x)^ 2 y =4 e^ 2 x-2 y 2 y 2 x= 4+2 x-2 y y= x+ 2 1+ 2 x aligned & d y ~d x = (1+ 2 x)-(x+ 2) 1 2 x 2 (1+ 2 x)^2 & (1+ 2 x)^2 d y ~d x = x 2 x- 2 x aligned

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