Differentiate the following function with respect to x.
$(2 x^{2} - 3) sin x$ .

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Solution

Given expression

$(2 x^{2} - 3) sin x$

$\frac{d}{d x} ((2 x^{2} - 3) sin x)$

$\frac{d}{d x} (2 x^{2} - 3) sin x + 2 x^{2} - 3 \frac{d}{d x} (sin x)$

$⟹ 4 x sin x + (2 x^{2} - 3) cos x$

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