solve by Using an appropriate difference ratio (forward or central difference ratio) and whatdoes it mean? f´(2) if f(x) = x^3 – 6x^2 + 9x + 3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 52E
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solve by Using an appropriate difference ratio (forward or central difference ratio) and what
does it mean?

f´(2) if f(x) = x^3 – 6x^2 + 9x + 3

Expert Solution
Step 1

Consider the provided function,

According to the forward difference ratio first derivative of f(x) is given by,

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