How to graph the derivative and second derivative to find if a function is speeding or slowing on an interval?

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I am having issues graphing the first (Velocity) and second (Acceleration) derivatives of a function given to me in graph form.

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(Sorry for the poor graph drawing)

I have a few questions:

  1. Is my graph for the first and second derivative correct and if not how can I fix it?
  2. How do I know where the graph is speeding up or slowing down?
  3. How is the graph speeding up at (1,2) U (3,4)?