Differentiate the following w.r.t $x$ :
$sin (x^{2} + 5)$

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Solution

$y = sin (x^{2} + 5)$

Differentiating w.r.t x, we get,

$\frac{d y}{d x} = cos (x^{2} + 5) \times 2 x$

$\frac{d y}{d x} = 2 x cos (x^{2} + 5)$

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