1 Suppose that L is a location function of an object, given as L(t) = We will compute the 3t – 2 instantaneous velocity of the object at t as follows. Use exact values. First we will compute and simplify L(t + h). L(t + h) = Then we compute and simplify the average velocity between t and t + h. L(t + h) – L(t) h The instantaneous velocity of the object at t is the limit of the average velocity as h approaches zero. L(t + h) – L(t) L'(t) = lim h0 h

1 Suppose that L is a location function of an object, given as L(t) = We will compute the 3t – 2 instantaneous velocity of the object at t as follows. Use exact values. First we will compute and simplify L(t + h). L(t + h) = Then we compute and simplify the average velocity between t and t + h. L(t + h) – L(t) h The instantaneous velocity of the object at t is the limit of the average velocity as h approaches zero. L(t + h) – L(t) L'(t) = lim h0 h

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

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