Find $\frac{d y}{d x}$ :
$2 y^{2} + 6 x = 5$

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Solution

$2 y^{2} + 6 x = 5$
$4 y \frac{d y}{d x} + 6 = 0$
$4 y \frac{d y}{d x} = - 6$
$\frac{d y}{d x} = - \frac{6}{4 y}$
$\frac{d y}{d x} = - \frac{3}{2 y}$

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