Suppose that f is a function given as f(x) = 2x² + 7x - 2. 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 a is the limit of the difference quotient as h approaches zero. f'(x) = lim f(x+h)-f(x) h→0 h
Suppose that f is a function given as f(x) = 2x² + 7x - 2. 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 a is the limit of the difference quotient as h approaches zero. f'(x) = lim f(x+h)-f(x) h→0 h
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 84E
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Question
![Suppose that f is a function given as f(x) = 2x² + 7x - 2.
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 a is the limit of the difference quotient as h approaches zero.
f'(x) = lim
f(x+h)-f(x)
h→0
h](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbef47ac1-7446-497d-b6d8-164d649da7a8%2Fd9288285-8779-4296-8282-d8add6683fa5%2Ft30f2ve5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that f is a function given as f(x) = 2x² + 7x - 2.
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 a is the limit of the difference quotient as h approaches zero.
f'(x) = lim
f(x+h)-f(x)
h→0
h
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