y - A B x

x²+4 Let: f(x)= - 16x f'(x) = - f"(x)= 16(3x2+4) x² –4° (x²–4)² ' (x² –4)° 5. Sketch the graph of f, label all important points from part (1), (2) and (3).

The graph of the derivative of f' of a continuous function f is given in Figure 1. y = f'(x) 2- 2 /4 6. |-2 Figure 1 a) On what intervals is f increasing and on what intervals is f decreasing? b) At what value of x does f have a local maximum, and local minimum? c) On what intervals is f concave upward and concave downward? d) State the x-coordinates of the point(s) of inflection.