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ı) \

{ j L

_ ħ[o o j - o l lo j ( j- ı o ) -

o j · o 5 , 1 0

2 5-

Lf ) +ı j 2

d ô Ġ ) - l b o à W oo z o

四国

- 1 0 0 2 2 9 X

- ı o o- à s >< =

o

){ z o

-

ĺ - Ò二 - 10 6 - Z S Y

p ç x ( X 48) = D

J $ 3 1 )- I B Ō

J X »ţ > o 0 x

° 0

3 S Xl

l- L 10 6 + ? Jþ o X

w ) 0 0 Z O& .- 9 o o - S D x a s l

'

+ ı b (5 ) 吾

+ > o o x- l & C ( 5 ) W Q )

1 1o 5. 9 0Ĵ j - l b . ğt ° - Z ö 0 - S > «

1 (0 Ĵ - %0°

O切 黑 十 3 żコ娑· 初 ロ ーペは看扭= 心

ゾ丁 し

1 . w h e n d o e s t h e g r a p h o f 2 s xz

+ 1 6 yz

+ 2 0 0 x - 1 6 0y + 4 00 = 0 h a v e h o r i z o n t a ı a n d v e r t i c a l t a n g e n t ı i n e s ?

Fampl e s

. T h e v a l u e o f a f r a c t i o n i s u n d e f i n e d w h e n M l

·

. I s e q u a ı t o

ı A f r a c t i o n i s e q u a l t o z e r o w h e n t h e, h u A i s e q u a l t o O

ı ı f t h e g r a p h o f a f u n c t i o n h a s a v e r t i c a ı t a n g e n t l i n e , t h e d e r i v a t i v e i s

. I f t h e g r a p h o f a f u n c t i o n h a s a h o r i z o n t a l t a n g e n t ı i n e , t h e d e r i v a t i v e i s O

l in e h a s a n u n d e f i n e d s ı o p e .

A u e ľR e m e m b e r , t h e s l o p e o f a h o r i z o n t a ı ı i n e i s c r

.'

i e s l o p e o f a h o r i z o n t a l ı i n e i 5 Z e , O

Im p l i c i t D iJf e r e n t i a t i o n A p p ı i c a t i o n s

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