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AP EAMCET202420 May 2024Morning ShiftMathematicsDifferentiationActual

If y= ( x) , then d^2 y d x^2 =

Options

  1. A- ^2( x)[1+2 x] x^2
  2. B^2( x)[1+ ( x)] x^2
  3. C( x)[2+ ( x)-1] x^2
  4. D^2( x)[2+ ( x)-1] x^2

Correct answer

D. ^2( x)[2+ ( x)-1] x^2

Step-by-step solution

y= ( x) d y d x = ^2( x) x d^2 y d x^2 = 2 ^2( x) ( x) x^2 - ^2( x) x^2 = ^2( x) x^2 [2+ ( x)-1]

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