Explanation Given: f ( x ) = 3 x 3 − x 2 + 2 x at x=1 Formula used: f " ( x ) is positive, the given function is concave up. f " ( x ) is negative, the given function is concave down. Calculation: f ( x ) = 3 x 3 − x 2 + 2 x f ' ( x ) = 3 ( 3 ) x 2 − ( 2 ) x + 2 f ' ( x ) = 9 x 2 − 2 x + 2 f ' '

6th Edition

ISBN: 9781119275565

Author: Hughes-Hallett

Publisher: WILEY

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Chapter 3, Problem 9SYU

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Whether the given statement is true or false.

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Chapter 3, Problem 8SYU

Chapter 3, Problem 10SYU

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Chapter 3 Solutions

APPLIED CALCULUS-PRINT COMPANION (LL)

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Whether the given statement is true or false.

Solution Summary: The author evaluates whether the given statement is true or false.

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To find: Whether the given statement is true or false.

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Chapter 3 Solutions

To find:

Whether the given statement is true or false.