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Finding f from f Sketch the graph of f(x) = x (the

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 55E Chapter 3.1

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 55E

Finding ?f? from ?f??? Sketch the graph of ?f?(?x?) = ?x? (the derivative of ?f?). Then, sketch a possible graph of ?f?. Is there more than one possible graph?

Step-by-Step Solution:
Step 1 of 3

SOLUTION STEP 1 The graph of(x) = x is Since this is a graph of derivative,we can understand that it is the slope of the original graph. Here,we can observe that the slope is positive for values x > 0 and is negative for values x < 0. STEP 2 Therefore the possible graph of the function can be STEP 3 Given f (x) = x On integrating ,we get f(x) = 2 +c,where c is any real number. Therefore there is infinitely many possibilities of graph of f(x)

Step 2 of 3

Chapter 3.1, Problem 55E is Solved
Step 3 of 3

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Finding f from f Sketch the graph of f(x) = x (the