Nayland College  Mathematics Home . Year 9 . Year 10 . Level 1 . Level 2 . L3 Statistics . L3 Maths . L3 Calculus . About . Links 
8 
Second Derivative
Differentiate twice. Use the second derivative to identify features of graphs: where the graph is increasing, decreasing, points of inflection and stationary points. Use calculus to find local maximum, local minimum, and points of inflection. Finding the nature of Turning points NOTE: determining the nature of turning points you can use any method: 1. The second derivative, 2. By inspection of the graph of the function or 3. By testing the value of the function on each side of the turning point)

Graphs: Ex15.04, NuLake IAS p82, 86, 87 