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