If y 2 = P ( x ), a polynomial of degree 3, then 2 d d x (y^ 3 d^ 2 y d x^ 2 ) equals

Mathematics · JEE Advanced · NTA ExamsLimit, Continuity and Differentiability

If y2 = P(x), a polynomial of degree 3, then
\(2 \frac{d}{d x}\left(y^{3} \frac{d^{2} y}{d x^{2}}\right)\) equals
  1. P′′′(x) + P(x)
  2. P′′(x) P′′′(x)
  3. P (x) P′′′(x)
  4. a constant

Answer

(D) a constant

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