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.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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.
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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