Difference quatient for f(x) = 5/x %3D

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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How would I find the difference quotient for the following problem?
**2. Difference Quotient for \( f(x) = \frac{5}{x} \).**

The difference quotient is a crucial concept in calculus, used to find the derivative of a function. For the function \( f(x) = \frac{5}{x} \), the difference quotient is expressed as:

\[ \frac{f(x+h) - f(x)}{h} \]

where \( h \) is a small value approaching zero. The difference quotient helps us understand the rate of change of the function as \( x \) changes.
Transcribed Image Text:**2. Difference Quotient for \( f(x) = \frac{5}{x} \).** The difference quotient is a crucial concept in calculus, used to find the derivative of a function. For the function \( f(x) = \frac{5}{x} \), the difference quotient is expressed as: \[ \frac{f(x+h) - f(x)}{h} \] where \( h \) is a small value approaching zero. The difference quotient helps us understand the rate of change of the function as \( x \) changes.
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