Suppose that f is a function given as f(x) = /=4x – 5. %3D Simplify the expression f(x + h). f(x + h) - f(x + h) - f(x) Simplify the difference quotient, f(x + h) – f(x) h Rationalize the numerator in the difference quotient. (If applies, simplify again.) f(# + h) - f(x) The derivative of the function at a is the limit of the difference quotient as h approaches zero. f(r +h)- f(r) f'(z) = lim h0

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) = /=4x – 5.
%3D
Simplify the expression f(x + h).
f(x + h) -
f(x + h) - f(x)
Simplify the difference quotient,
f(x + h) – f(x)
h
Rationalize the numerator in the difference quotient. (If applies, simplify again.)
f(# + h) - f(x)
The derivative of the function at a is the limit of the difference quotient as h approaches zero.
f(r +h)- f(r)
f'(z) =
lim
h0
Transcribed Image Text:Suppose that f is a function given as f(x) = /=4x – 5. %3D Simplify the expression f(x + h). f(x + h) - f(x + h) - f(x) Simplify the difference quotient, f(x + h) – f(x) h Rationalize the numerator in the difference quotient. (If applies, simplify again.) f(# + h) - f(x) The derivative of the function at a is the limit of the difference quotient as h approaches zero. f(r +h)- f(r) f'(z) = lim h0
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