Let f(x) = 8 + 3√. Then the expression can be written in the form A B || C = = Use your answer from above to find lim h→0 lim h→0 f(x +h)-f(x) h = Finally, find each of the following: f'(1) = f'(2) = f'(3) = = f(x +h)-f(x) h f(x+h)-f(x) h A (√Bx + Ch) + (√)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 21T
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Question
Let f(x) = 8 + 3√. Then the expression
can be written in the form
A
B
C
||
=
Use your answer from above to find lim
h→0
lim
h→0
f(x +h)-f(x)
h
=
Finally, find each of the following:
f'(1) =
f'(2) =
f'(3) =
f(x +h)-f(x)
h
f(x+h)-f(x)
h
A
(√Bx + Ch) + (√)
Transcribed Image Text:Let f(x) = 8 + 3√. Then the expression can be written in the form A B C || = Use your answer from above to find lim h→0 lim h→0 f(x +h)-f(x) h = Finally, find each of the following: f'(1) = f'(2) = f'(3) = f(x +h)-f(x) h f(x+h)-f(x) h A (√Bx + Ch) + (√)
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