Advanced Mathematics - Original and antiderivative functions
Original and antiderivative functions
The original graph f(x) is the gradient  function of the antiderivative
* where f(x) crosses the x axis the gradient of F(x) will be zero, which
gives the location of any stationary points.
* where f(x) is negative (below the x axis) F(x) will have a negative
* where f(x) is positive (above the x axis) F(x) will have a positive
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