If y = a x+b x^ 2 +c , where a, b, c are constants then (2xy’ + y) y’’’ is equal to

Mathematics · JEE Advanced · NTA ExamsLimit, Continuity and Differentiability

If y = \(\frac{a x+b}{x^{2}+c}\), where a, b, c are constants then (2xy’ + y) y’’’ is equal to
  1. 3 (xy’’ + y’) y’’
  2. 3 (xy’ + y’’) y’’
  3. 3 (xy’’ + y’) y’
  4. None of these

Answer

(A) 3 (xy’’ + y’) y’’

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