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1988

JEE Main 1988 Mathematics question on Limits Continuity and Differentiability

If y2=P(x)y^2 = P(x) is a polynomial of degree 3, then 2ddx(y3d2ydx2)2\frac{d}{dx}\left(y^3\frac{d^2y}{dx^2}\right) equals
  1. A.
    P′′′(x)+P′(x)P'''(x) + P'(x)
  2. B.
    P′′(x)⋅P′′′(x)P''(x) \cdot P'''(x)
  3. C.
    P(x)⋅P′′′(x)P(x) \cdot P'''(x)
  4. D.
    a constant
Show answer

Correct option: C

[1988]

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