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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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Section
BuyFindarrow_forward

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.

Chapter 2.8, Problem 49E, 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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