Find the second order derivative of the following function:
$x cos x$

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Solution

Let $y = x c o s x .$ Then,
$\frac{d y}{d x} = c o s x - x s i n x$
$\Rightarrow \frac{d^{2} y}{d x^{2}} = - s i n x - (s i n x + x c o s x) = - 2 s i n x - x c o s x$

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