Find the derivative of following function with respect to x.
$y = s i n (x^{2})$

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Solution

$y = sin (x^{2})$
$\frac{d y}{d x} = \frac{d}{d x} (sin (x^{2}))$
Or $\frac{d y}{d x} = cos (x^{2}) \times \frac{d}{d x} (x^{2})$
Or $\frac{d y}{d x} = cos (x^{2}) \times 2 x = 2 x cos (x^{2})$

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