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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.1: Polynomial Functions Of Degree Greater Than

Problem 36E

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Question

Consider the function f(x) :
822 + 7
Recall that the definition of the derivative given in the book is:
f(x + h) – f(æ)
lim
h-0
h
(A) In terms of æ and h only, find a simplified expression for only the numerator of this expression,
f(x + h) – f(x).
f(x + h) – f(x) =
f(x + h) – f(x)
(B) Now find a simplified expression for the expression
h
f(æ + h) – f(x)
h

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