f(x) – f(2) x - 2 Find the difference quotient when f(x) = 2 + 4x + 5x². Simplify the expression fully as if you were going to compute the limit as x → 2. In particular, cancel common factors of x – 2 in the numerator and denominator if possible. (Use symbolic notation and fractions where needed.) f(x) – f(2) %3D x - 2 Use your result to compute the derivative. (Give your answer as a whole or exact number.) f'(2) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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f(x) – f(2)
Find the difference quotient
when f(x) = 2 + 4x + 5x². Simplify the expression fully as if you were going to
х — 2
compute the limit as x → 2. In particular, cancel common factors of x – 2 in the numerator and denominator if possible.
(Use symbolic notation and fractions where needed.)
f(x) – f(2)
х — 2
Use your result to compute the derivative.
(Give your answer as a whole or exact number.)
f'(2) =
Transcribed Image Text:f(x) – f(2) Find the difference quotient when f(x) = 2 + 4x + 5x². Simplify the expression fully as if you were going to х — 2 compute the limit as x → 2. In particular, cancel common factors of x – 2 in the numerator and denominator if possible. (Use symbolic notation and fractions where needed.) f(x) – f(2) х — 2 Use your result to compute the derivative. (Give your answer as a whole or exact number.) f'(2) =
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