[5] Using the limit definition of a derivative, find the derivative of f(r) = r - 1. Show that this derivative can also be obtained by evaluating %3D f(x+ Ar)-f(r - Ar) lim Ar-+0 2Ar Explain why you were able to get the same derivative of f(r) by describing the geometric interpretation of this formulation of the derivative. You can draw graphs to help you discuss this. [20 points]

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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[5] Using the limit definition of a derivative, find the derivative of f(r) = r-1. Show that this
derivative can also be obtained by evaluating
%3D
f(r+ Ar) – f(r - Ar)
lim
Ar40
2Ar
Explain why you were able to get the same derivative of f(r) by describing the geometric interpretation
of this formulation of the derivative. You can draw graphs to help you discuss this. [20 points]
Transcribed Image Text:[5] Using the limit definition of a derivative, find the derivative of f(r) = r-1. Show that this derivative can also be obtained by evaluating %3D f(r+ Ar) – f(r - Ar) lim Ar40 2Ar Explain why you were able to get the same derivative of f(r) by describing the geometric interpretation of this formulation of the derivative. You can draw graphs to help you discuss this. [20 points]
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