Find the coordinates of the turning points of the curve $y = 2 x^{3} - 3 x^{2} - 12 x + 4$ .

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Differentiate $f (x) = \frac{3 x ^{4} - 2 x ^{2} + 5}{x}$ with respect to $x$ for $x \neq = 0$ .
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The curve $y = x^{3} + a x^{2} + b x + c$ has a stationary point of inflection at $(2, 5)$ . What are the values of $a$ and $b$ ?