Flexing the graph

The points of inflexion of a graph are the points where
it changes from concave upwards to concave downwards and vice-versa. The points can be found by looking for places where the second derivative changes sign.

• Plot the graph of y=2*t^4+0.5*t^3-3*t^2+2*t-1 and see if you can spot any points of inflexion.
  
• Save the values of the derivative to a file
  
• Use 'Open File' to import the derivative values as your new function.
  
• Display the derivative of this function and find the approximate position where this graph crosses the t-axis. Do these values agree with your original estimates of the position of the points of inflexion?

#differentiation #secondderivative #pointsofinflexion

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