Explanation We know that derivative is a way to show rate of change or the amount by which a function is changing at any given point. Derivative represents the instantaneous rate of change of one quantity with respect to another quantity. The derivative of a function say, y = f

6th Edition

ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Concept explainers

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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Question

Chapter 3.1, Problem 2PS

To determine

To write the definition of derivative.

Expert Solution & Answer

Chapter 3 Solutions

Calculus

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To write the definition of derivative.

Solution Summary: The author explains that derivative represents the instantaneous rate of change of one quantity with respect to another quantity.

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To write the definition of derivative.

Chapter 3 Solutions