Barrons AP Calculus

Figure  N6–9

SOLUTION: Since f increases on [a,b] and is concave up, the inequality is

F. GRAPHING A FUNCTION FROM ITS DERIVATIVE;

ANOTHER LOOK

Example 28 __

Figure N6–10 is the graph of function f ′(x); it consists of two line segments and
a semicircle. If f(0) = 1, sketch the graph of f(x). Identify any critical or
inflection points of f and give their coordinates.