MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation
Problem
For all real numbers x, the second derivative of a function h is given by h′′(x)=4−2x. At which x-value does the graph of h have a point of inflection?
(a) x=0
(b) x=4
(c) x=2
(d) There is no point of inflection because h′′(x) is never zero.