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f(x+h)-f(x) Find the difference quotient where h#0, for the function below. h f(x)=3x+5x Simplify your answer as much as possible.

f(x+h)-f(x) Find the difference quotient where h#0, for the function below. h f(x)=3x+5x Simplify your answer as much as possible.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Initial Knowledge Check** Question 20 Find the difference quotient \(\frac{f(x+h) - f(x)}{h}\), where \(h \neq 0\), for the function below. \(f(x) = 3x^2 + 5x\) Simplify your answer as much as possible. \[ \frac{f(x+h) - f(x)}{h} = \_\_ \] *Interface elements include:* - A text entry box for the calculated answer. - Option buttons such as “I Don’t Know” and “Submit.” - Icons for resizing or resetting the problem interface.
Transcribed Image Text:**Initial Knowledge Check** Question 20 Find the difference quotient \(\frac{f(x+h) - f(x)}{h}\), where \(h \neq 0\), for the function below. \(f(x) = 3x^2 + 5x\) Simplify your answer as much as possible. \[ \frac{f(x+h) - f(x)}{h} = \_\_ \] *Interface elements include:* - A text entry box for the calculated answer. - Option buttons such as “I Don’t Know” and “Submit.” - Icons for resizing or resetting the problem interface.
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