Differentiate the following equation:
$(2 x^{2} - 3) s i n x$

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Solution

We have,
$\frac{d}{d x} (2 x^{2} - 3) s i n x$
$= s i n x \frac{d}{d x} (2 x^{2} - 3) + (2 x^{2} - 3) \frac{d}{d x} (s i n x)$ [Using product rule]
$= s i n x \times 4 x + (2 x^{2} - 3) c o s x$
$= 4 x s i n x + (2 x^{2} - 3) c o s x$

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