Question

Give a geometrical interpretation of the following expressions, if s is a position function:
a. lim h->0 s(6+h)-s(6)/h
b. s(9)-s(2)/7

Answer 1

a) is the derivative at 6, i.e.the instantaneous rate of change (speed) at \(t=6\)

Answer 2

b) is the average rate of change from \(t=2\) to \(t=9\)