1 ƒ(4 + h) − ƒ(4) - X h (Express numbers in exact form. Use symbolic notation and fractions where needed.) Let f(x) = Calculate f(x) = f(4) x-4 = f(4+h)-f(4) h f'(4) = f(x) - f(4) x-4 and Take the appropriate limit to find f'(4). (Give an exact answer. Use symbolic notation and fractions where needed.)
1 ƒ(4 + h) − ƒ(4) - X h (Express numbers in exact form. Use symbolic notation and fractions where needed.) Let f(x) = Calculate f(x) = f(4) x-4 = f(4+h)-f(4) h f'(4) = f(x) - f(4) x-4 and Take the appropriate limit to find f'(4). (Give an exact answer. Use symbolic notation and fractions where needed.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
Related questions
Question
100%
Let ?(?)=1?.f(x)=1x. Calculate ?(?)−?(4)?−4f(x)−f(4)x−4 and ?(4+ℎ)−?(4)ℎ.and f(4+h)−f(4)h.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
?(?)−?(4)?−4=f(x)−f(4)x−4=
$$−14x
?(4+ℎ)−?(4)ℎ=f(4+h)−f(4)h=
$$−144+h
Take the appropriate limit to find ?′(4).find f′(4).
(Give an exact answer. Use symbolic notation and fractions where needed.)
?′(4)=f′(4)=
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