Given f(x) = 3x² – 3x +1, we wish to compute f'(-1) using the definition f(a + h) – f(a) f' (a) = ,lim h→0 h Notice this is an indeterminate of the form f(-1+h) – f(-1) (a) Simplify h FORMATTING: The answer must be a polynomial in h in its simplest form. f(-1+h) – f(-1) (b) Compute f'(-1) = lim h→0 -9 %3D h

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Given f(x) = 3x2 – 3x +1, we wish to compute f'(-1) using the definition
f(a + h) – f(a)
f' (a) = lim
h→0
h
Notice this is an indeterminate of the form
f(-1+h) – f(-1)
(a) Simplify
h
FORMATTING: The answer must be a polynomial in h in its simplest form.
f(-1+h) – f(-1)
lim
h→0
(b) Compute f'(-1) =
-69
h
Transcribed Image Text:Given f(x) = 3x2 – 3x +1, we wish to compute f'(-1) using the definition f(a + h) – f(a) f' (a) = lim h→0 h Notice this is an indeterminate of the form f(-1+h) – f(-1) (a) Simplify h FORMATTING: The answer must be a polynomial in h in its simplest form. f(-1+h) – f(-1) lim h→0 (b) Compute f'(-1) = -69 h
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