Given the function ƒ(x) = x² – 3xf(2+h)-f(2)h(a) Find the expression(b) Use your result from part (a) of this problem to evaluatef(2+h)-f(2)hlimh→0Simplify your answer.(c) Can the work you did in part (b) of this problem help you findf'(2)? Explain.

The given function is ; f(x)=x2-3x.

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.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.4: Factoring Polynomials

Problem 84E: The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the...

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Question

100%

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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