   Chapter 2.8, Problem 49E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# The figure shows the graphs of f, f', and f". Identify each curve, and explain your choices. To determine

To identify: The curves f,f and f on given graph with proper explanation.

Explanation

Graph:

The given graph is shown as in Figure 1,

Observation:

From the Figure 1, it is observed that the point where c(x)=0 is the same point where graph of b(x) has horizontal tangent.

Recall that the derivative of a function is zero where the function has a horizontal tangent.

Therefore, c(x) is the derivative of the graph b(x). That is, b(x)=c(x).

Observe the graph of a and b carefully.

The point where b(x)=0 is the same point where graph of a(x) has horizontal tangent.

Recall that the derivative of a function is zero where the function has a horizontal tangent.

Therefore, b(x) is the derivative of the graph a(x)

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