Given the function f(x) = x² – 3x f(2+h)-f(2) h (a) Find the expression (b) Use your result from part (a) of this problem to evaluate ƒ(2 + h) − ƒ(2) h lim h→0 Simplify your answer. (c) Can the work you did in part (b) of this problem help you find f' (2)? Explain.
Given the function f(x) = x² – 3x f(2+h)-f(2) h (a) Find the expression (b) Use your result from part (a) of this problem to evaluate ƒ(2 + h) − ƒ(2) h lim h→0 Simplify your answer. (c) Can the work you did in part (b) of this problem help you find f' (2)? Explain.
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.CR: Review Problem Set
Problem 13CR
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![Given the function ƒ(x) = x² – 3x
f(2+h)-f(2)
h
(a) Find the expression
(b) Use your result from part (a) of this problem to evaluate
f(2+h)-f(2)
h
lim
h→0
Simplify your answer.
(c) Can the work you did in part (b) of this problem help you find
f'(2)? Explain.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4b64424-2f1e-400b-a2f3-ccc24d7d74e8%2F357faa46-2cf4-4982-bfb6-fec1f33ca3ca%2Fgn2t2lg_processed.png&w=3840&q=75)
Transcribed Image Text:Given the function ƒ(x) = x² – 3x
f(2+h)-f(2)
h
(a) Find the expression
(b) Use your result from part (a) of this problem to evaluate
f(2+h)-f(2)
h
lim
h→0
Simplify your answer.
(c) Can the work you did in part (b) of this problem help you find
f'(2)? Explain.
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