MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties
Problem
To estimate g′(5) from the graph of a smooth function y=g(x), a student plans to calculate the slope of a secant line using two plotted points. Which pair of x–coordinates is most likely to give the most accurate numerical approximation of g′(5)?
(a) 5 and 6
(b) 4 and 6
(c) 4.9 and 5.1
(d) 4.8 and 5.2