Question: generate a continuous and differentiable functionf(x) with the following properties: f(x)is decreasing atx=6 f(x) has a local minimum atx=2 f(x) has a local maximum atx=2

generate a continuous and differentiable functionf(x) with the following properties:

  • f(x)is decreasing atx=6
  • f(x) has a local minimum atx=2
  • f(x) has a local maximum atx=2

I know the answer is (-x^4/4)-(7x^3/3)+(4x^2/2)+28x

how does one come to this outcome? I need help breaking this down

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