21f08-21-22 - AFA8 age ade i ee a i k ha e eaba i e a ge a...

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Unformatted text preview: AFA8 age ade i ee a i k ha e eaba i e a ge a ea a i h e i egeh gh ha i ad h e e ih ea ea ha fh e eB h d e ea eha e?e a ak eh e id eaee e e iead eeh e i eh i ea e e e a ha h e e ih eg ah fa f i y = f ( x ) ha i h e e ih ee f i ( x, f ( x )) e a d h e ea a x = 2 h e a d i id h e e f e h ig i e a i e ad e a eha i e e ha fh e e h ee a i h i iha h e i e e ka i e ea h eage i e h ih e h e e ih ea ea h e e ia a e ea eadk ab b ak ig h e i eh gh (2 , f (2)) ad a ea b i ( x, f ( x )) f x ea h iia edaea i eA eak e x e h e ea i ege e h eage ad h e e fh eea ge e ha fh eage A ga i i h e i i a x 2 h e e fh ia i a ig i e h e e ek d ie a ah eha fh e ea h eea i e e iaa i a i fh e e fh e eh e i i iea ha e eab h e e : slope := lim x 2 { slope of secant } = lim x 2 f ( x ) f (2) x 2 ha ha d i i ea i e h ig eha e ak e e e ie E a e e d h e e fh e f i f ( x ) := x 2 3 x a x = 2 ak iga b e f i ea e ad ea e g i e a ea e ad ea e id ea fh e ea ea : x = 3; f (3) f (2) 3 2 = 2 x = 2 . 5; f (2 . 5) f (2) 2 . 5 2 = 1 . 5 x = 2 . 2; f (2 . 2) f (2) 2 . 2 2 = 1 . 2 x = 2 . 1; f (2 . 1) f (2) 2 . 1 2 = 1 . 1 x = 2 . 002; f (2 . 002) f (2) 2 . 002 2 = 1 . 002 h ikge h ea e B hd j g i x = 2 ?B ea eh e f ade ak ee ege a ea i e eed i ad ha db eh ea e i a b h ed C e a i h e e h e e fh e...
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This note was uploaded on 11/24/2011 for the course MATH 21 taught by Professor Stanley during the Fall '09 term at Lehigh University .

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21f08-21-22 - AFA8 age ade i ee a i k ha e eaba i e a ge a...

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