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The function f(x)=x^(1/3)(x-1) has two ...

The function `f(x)=x^(1/3)(x-1)` has two inflection points has one point of extremum is non-differentiable has range `[-3x2^(-8/3),oo)`

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To solve the problem regarding the function \( f(x) = x^{1/3}(x - 1) \), we will analyze the function step by step to confirm the given conditions. ### Step 1: Find the first derivative \( f'(x) \) To find the critical points and points of extremum, we first need to find the first derivative of \( f(x) \). \[ f(x) = x^{1/3}(x - 1) ...
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