Differential coefficient of $sin x^{3}$ will be _________.

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Solution

$f (x) = sin x^{3}$
$\frac{d}{d x} (f (x)) = \frac{d}{d x} (sin x^{3}) = cos x^{3} \frac{d}{d x} (x^{3}) = cos x^{3} \cdot 3 x^{2} = 3 x^{2} cos x^{3}$

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