Given f(x) = 3 x² – 2 vx , which of the following expressions will represent the first step when finding f ' (x) using the definition of derivative?
Given f(x) = 3 x² – 2 vx , which of the following expressions will represent the first step when finding f ' (x) using the definition of derivative?
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Author:Bruce Crauder, Benny Evans, Alan Noell
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![Given f(x) = 3x² – 2 vx , which of the following expressions will represent the first step when findingf' (x) using the definition of
derivative?
3 (x + h) – 2 Vx + h
а)
lim
h→0
h
(3 (x + hỷ – 2 Vx +h) – (3x² – 2 Vã)
-
b) Olim
h→0
(3x? – 2 Vĩ + h) – (3x² – 2 Vã)
с) Оlim
h→0
h
(3 (х + h? - 2 Vx +h) — (3 x? — 2 )
d) Olim
(3 (x + h)² – 2 Vx + h) – (3x² – 2 vx)
e)
h
f) Onone of these.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25b29b73-d935-4ee5-b2c5-0f8bf07c8fa8%2Fa7c9b5e6-a9b5-4ae1-8908-81ded971a0c2%2Fn5rn9ld_processed.png&w=3840&q=75)
Transcribed Image Text:Given f(x) = 3x² – 2 vx , which of the following expressions will represent the first step when findingf' (x) using the definition of
derivative?
3 (x + h) – 2 Vx + h
а)
lim
h→0
h
(3 (x + hỷ – 2 Vx +h) – (3x² – 2 Vã)
-
b) Olim
h→0
(3x? – 2 Vĩ + h) – (3x² – 2 Vã)
с) Оlim
h→0
h
(3 (х + h? - 2 Vx +h) — (3 x? — 2 )
d) Olim
(3 (x + h)² – 2 Vx + h) – (3x² – 2 vx)
e)
h
f) Onone of these.
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