   Chapter 2.8, Problem 15E ### 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 graph shows how the average age of first marriage of Japanese men varied in the last half of the 20th century. Sketch the graph of the derivative function M'(t). During which years was the derivative negative? To determine

To sketch: The graph of M(t) and find the time in which the derivative is negative.

Explanation

Given:

The given graph highlights the variation of the average age of first marriage of Japanese men varied in the last half of the 20th century.

Calculation:

From the graph, it is clear that the slope of the graph is positive initially.

The graph has horizontal tangent just after t=1960, after which the slope becomes negative.

After t=1970, it has horizontal tangent and then the slope becomes positive.

After t=2000, the slope becomes horizontal gradually.

This implies that, the derivative graph will positive initially with functional value zero just after t=1960, then the derivative graph will negative and then again the derivative will be zero just after t=1970

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Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 