Suppose that f is a function given as f(x) = -3x² - 2x - 3. Simplify the expression f(x + h). f(x + h) = Simplify the difference quotient, f(x+h)-f(x) h ƒ(x+h) − f(x) h The derivative of the function at x is the limit of the difference quotient as h approaches zero. f(x+h)-f(x) h f'(x) =lim h→0
Suppose that f is a function given as f(x) = -3x² - 2x - 3. Simplify the expression f(x + h). f(x + h) = Simplify the difference quotient, f(x+h)-f(x) h ƒ(x+h) − f(x) h The derivative of the function at x is the limit of the difference quotient as h approaches zero. f(x+h)-f(x) h f'(x) =lim h→0
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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![Suppose that f is a function given as f(x) = -3x² - 2x - 3.
Simplify the expression f(x + h).
f(x + h) =
Simplify the difference quotient,
f(x+h)-f(x)
h
f(x+h)-f(x)
h
The derivative of the function at x is the limit of the difference quotient as h approaches zero.
f(x+h)-f(x)
h
f'(x) =lim
h→0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7ca268c-82bb-4cad-a1f0-8b5f1d6920cf%2F4dbeaa0f-015f-41ec-9602-4d97d8c904b9%2F6zl60lc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that f is a function given as f(x) = -3x² - 2x - 3.
Simplify the expression f(x + h).
f(x + h) =
Simplify the difference quotient,
f(x+h)-f(x)
h
f(x+h)-f(x)
h
The derivative of the function at x is the limit of the difference quotient as h approaches zero.
f(x+h)-f(x)
h
f'(x) =lim
h→0
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