Answered: f(x + h) – f(x) Find the difference…

f(x + h) – f(x) Find the difference quotient h Find f'(x) by determining lim f(x + h) – f(x) h h-0 Find f'( – 2) (This slope should match the tangent line you drew above.) Find f'(0) Find f'(1)

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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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

f(x + h) – f(x)
Find the difference quotient
h
Find f'(x) by determining lim
f(x + h) – f(x)
h
h-0
Find f'( – 2) (This slope should match the tangent line you drew above.)
Find f'(0)
Find f'(1)

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