Because the Derivative of a Function Represents Both the Slope

question 64

Multiple Choice

Because the derivative of a function represents both the slope of the tangent to the curve and the instantaneous rate of change of the function, it is possible to use information about one to gain information about the other. In this problem, use the graph of the function given in the figure. Over what interval(s) (a) through (d) is the rate of change of f (x) positive?

• A)b c d
• B)c
• C)a b c d
• D)a b c
• E)a b d

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Industrialized Nation

A country whose economy is characterized by the large-scale use of industry and manufacturing technology, leading to high levels of income and development.

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French political thinker and historian best known for his works "Democracy in America" illustrating his observations of the American political and social system.