4Vx. Then the expression f(x + h) – f(x) can be written in the form A (VBx + Ch) + (vã)' where A, B, and C are constants. (Note: It's possible for one or more of t constants to be 0.) Find the constants. A = 4 B = f(x+ h) – f(x) Jse your answer from above to find lim h→0 h f(x + h) – f(x) im --- h Finally, find each of the following: f'(1) = ..- f'(2) = ..- f'(3) = ..- II

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 4E
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Let f(x) = 5 + 4/x. Then the expression
f(x + h) – f(x)
h
can be written in the form
A
(VBx + Ch) + (vx)'
where A, B, and C are constants. (Note: It's possible for one or more of these
constants to be 0.) Find the constants.
A =
4
..-
...
B =
...
C =
...
...
f(x + h) – f(x)
Use your answer from above to find lim
h→0
h
f(x + h) – f(x)
lim
h→0
...
Finally, find each of the following:
f'(1) =
f' (2) =
f'(3) =
Transcribed Image Text:Let f(x) = 5 + 4/x. Then the expression f(x + h) – f(x) h can be written in the form A (VBx + Ch) + (vx)' where A, B, and C are constants. (Note: It's possible for one or more of these constants to be 0.) Find the constants. A = 4 ..- ... B = ... C = ... ... f(x + h) – f(x) Use your answer from above to find lim h→0 h f(x + h) – f(x) lim h→0 ... Finally, find each of the following: f'(1) = f' (2) = f'(3) =
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