1. Consider the following sentences: “You can approximate your instantaneous velocity at a point in time by finding your average velocity over a short interval containing that time. As you make the interval shorter, your approximation improves.” Now explain why this formula for instantaneous velocity makes sense: v(a) = lim h→0 f(a + h) − f(a) h
1. Consider the following sentences: “You can approximate your instantaneous velocity at a point in time by finding your average velocity over a short interval containing that time. As you make the interval shorter, your approximation improves.” Now explain why this formula for instantaneous velocity makes sense: v(a) = lim h→0 f(a + h) − f(a) h
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. Consider the following sentences: “You can approximate your instantaneous velocity at a point in
time by finding your average velocity over a short interval containing that time. As you make the
interval shorter, your approximation improves.” Now explain why this formula for instantaneous
velocity makes sense:
v(a) = lim
h→0
f(a + h) − f(a)
h
.
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