If , where is a polynomial of degree , then is equal…

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

If y2=p(x)y^2=p(x), where p(x)p(x) is a polynomial of degree 33, then 2ddx(y3d2ydx2)2\frac{d}{dx}\left(y^3\frac{d^2y}{dx^2}\right) is equal to: (1) p′′′(x)⋅p′(x)p'''(x)\cdot p'(x) (2) p′′(x)⋅p′′′(x)p''(x)\cdot p'''(x) (3) p(x)⋅p′′′(x)p(x)\cdot p'''(x) (4) None of these

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