A function f with domain $$\(x> 0\)$$ is such that $$\(\mathrm{f}^{\prime}(x)=8(2 x-3)^{\frac{1}{3}}-10 x^{\frac{2}{3}}\)$$. It is given that the curve with equation $$\(y=\mathrm{f}(x)\)$$ passes through the point $$\((1,0)\)$$. Find $$\(\mathrm{f}(x)\)$$. ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . DO NOT WRITE IN THIS MARGIN ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . It is given that the equation $$\(\mathrm{f}^{\prime}(x)=0\)$$ can be expressed in the form $$\[ 125 x^{2}-128 x+192=0 \]$$

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