   Chapter 2, Problem 13RCC ### 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

# Define the derivative f'(a). Discuss two way of interpreting this number.

To determine

To define: The derivative of a function f(a).

Explanation

The derivative f(a) is a slope of the tangent line equal to derivative of the function at the fixed point.

Two ways of interpreting are:

(1) The average rate of change of y with respect to x at the point x0 is

f(x)=f(x0+Δx)f(x0)Δx

(2) The instantaneous rate of chan

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