(Step-by-Step) Find the exact coordinates of the inflection points and critical points of the function f(x)=2 x^3+3 x^2-180 x+150 on the interval


Question: Find the exact coordinates of the inflection points and critical points of the function \(f(x)=2 x^{3}+3 x^{2}-180 x+150\) on the interval \((-10,10)\).

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