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Differentiate the following w.r.t x: $\sin^n(ax^2+bx+c)$.

$\begin{array}{1 1} (A)\;n(2ax+b)\sin^{n-1}(ax^2+bx+c).\cos(ax^2+bx+c) \\(B)\;n(2ax+b)\sin^{n}(ax^2+bx+c).\cos(ax^2+bx+c) \\ (C)\;-n(2ax+b)\sin^{n-1}(ax^2+bx+c).\cos(ax^2+bx+c) \\(D)\;-n(2ax+b)\sin^{n}(ax^2+bx+c).\cos(ax^2+bx+c) \end{array} $

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