A function f with domain $$\(x> 0\)$$ is such that $$\(\mathrm{f}^{\prime}(x)=8(2 x-3)^{\frac{1}{3}}-10 x^{\frac{2}{3}}\)$$. It is given that the curve with equation $$\(y=\mathrm{f}(x)\)$$ passes through the point $$\((1,0)\)$$. Find the equation of the normal to the curve at the point $$\((1,0)\)$$. ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ .

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