(a) Find a simplified form of the difference quotient and (b) complete the following table. f(x) = 3x² X 4 4 4 4 h 2 1 0.1 0.01 f(x+h)-f(x) 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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Please show the calculations you used to
-Reduce the difference quotient algebraically to its simplest form
-Find the values in the table

(a) Find a simplified form of the difference quotient and (b)
complete the following table.
f(x) = 3x²
f(x + h) - f(x)
h
b) Fill in the table.
a)
X
4
4
4
4
h
2
1
0.1
0.01
= 5
f(x +h)-f(x)
h
5
5
5
C
X
4
4
4
4
h
2
1
0.1
0.01
f(x +h)-f(x)
h
Transcribed Image Text:(a) Find a simplified form of the difference quotient and (b) complete the following table. f(x) = 3x² f(x + h) - f(x) h b) Fill in the table. a) X 4 4 4 4 h 2 1 0.1 0.01 = 5 f(x +h)-f(x) h 5 5 5 C X 4 4 4 4 h 2 1 0.1 0.01 f(x +h)-f(x) h
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