BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 2, Problem 12RCC
To determine

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

Expert Solution

Explanation of Solution

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 change of the function y=f(x) at the point x0 in its domain is limxx0f(x)=limxx0f(x0)f(x)x0x

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