The equation of a curve is $$\(y=k x^{\frac{1}{2}}-4 x^{2}+2\)$$, where $$\(k\)$$ is a constant. Find $$\(\frac{\mathrm{d} y}{\mathrm{~d} x}\)$$ and $$\(\frac{\mathrm{d}^{2} y}{\mathrm{~d} x^{2}}\)$$ in terms of $$\(k\)$$. ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ .

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