Let f (2) = 2 22 +6 x + 5 . We will use the definition of derivative to find the deivative of f (æ)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 3CC: If xis large, which function grows faster, f(x)=2x or g(x)=x2?
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Let f (æ) = 2 2 + 6 x +5. We will use the definition of derivative to find the deivative of f (x)
Transcribed Image Text:Let f (æ) = 2 2 + 6 x +5. We will use the definition of derivative to find the deivative of f (x)
(ii) Which one is the correct statement (the next step to find f' (x) by definition)?
2 ch+2 h² +6 h
O f' (x) = _lim
h
4 ch+2 h² +6 h
f' (2) =
h
O f' (x) = lim
h0
r+h-a
h
O f' (x) = ,lim
4 ch+2 h2 +6 h
h
(iv) Which one is the correct statement (the next step to find f' (æ) by definition)?
O f' (2) = ,lim (2 æ+ 6 h+5)
O f' (x) = ,lim (4 æ + 2 h +6)
h→0
O f' (x) = 4 x+ 2 h+6
O f' (x) = ,lim (8 æh+8 h+12)
h→0
Transcribed Image Text:(ii) Which one is the correct statement (the next step to find f' (x) by definition)? 2 ch+2 h² +6 h O f' (x) = _lim h 4 ch+2 h² +6 h f' (2) = h O f' (x) = lim h0 r+h-a h O f' (x) = ,lim 4 ch+2 h2 +6 h h (iv) Which one is the correct statement (the next step to find f' (æ) by definition)? O f' (2) = ,lim (2 æ+ 6 h+5) O f' (x) = ,lim (4 æ + 2 h +6) h→0 O f' (x) = 4 x+ 2 h+6 O f' (x) = ,lim (8 æh+8 h+12) h→0
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