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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 3.1 - Problem 55e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 3.1 - Problem 55e

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# Finding f from f Sketch the graph of f(x) = x (the ISBN: 9780321570567 2

## Solution for problem 55E Chapter 3.1

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

Step 3 of 3

##### ISBN: 9780321570567

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