[Step-by-Step] What value of a make f(x)=x^2+a/x have a local minimum at x = 2? point of inflection at x =


Question: What value of a make \(f\left( x \right)={{x}^{2}}+\frac{a}{x}\) have a

  1. local minimum at x = 2?
  2. point of inflection at x = 1?

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