Suppose that L is a location function of an object, given as L(t) instantaneous velocity of the object at t First we compute and simplify L(5+ h). L(5+ h) = = 2t 1. We will compute the 5 as follows. Use exact values. Then we compute and simplify the average velocity of the object between t = 5 and t = 5+h. - L(5+ h) L(5) h = Rationalize the numerator in the average velocity. (If applies, simplify again.) L(5+ h) - L(5) h The instantaneous velocity of the object at t = 5 is the limit of the average velocity as h approaches zero. L'(5) =lim h0 L(5+ h) L(5) h - =