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AP EAMCET202315 May 2023Morning ShiftMathematicsDifferentiationActual

If y= x x , then the value of x^2 d^2 y d x^2 +3 x d y d x +y at the point ( [3] e , e ) is

Options

  1. A0
  2. B1
  3. Ce
  4. D2 e

Correct answer

A. 0

Step-by-step solution

aligned & y= x x & d y d x = 1- x x^2 & and d^2 y d x^2 = -3 x+2 x x x^4 & Now Consider, & x^2 d^2 y d x^2 +3 x d y d x +y & =x^2 ( -3 x+2 x x x^4 )+3 x ( 1- x x^2 )+ x x =0 x, y aligned

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