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Derivatives Examples

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Summary based on coursework in the Engineering Maths 115 course at Stellenbosch University. Used for Tutoring Purposes on Teachme2.











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Uploaded on
June 14, 2021
Number of pages
17
Written in
2020/2021
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Other
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TUT 4
-




tank
6 a) f Cx ) =

scz 4
-
.




f Cx ) =
FIFTH

* Look where function DNE
at
points





- '
anfotidaies
V. A
tht Tk
r
where KEK
.




X=2&x=↳ µ
x =




XZ -
4=0

( x -
2) Getz ) = O




* Check for V. A at these
points




i¥¥:
go




→ ←
V -
co



he tank
xx Ee ¥4

he




KKE
try tI

¥77
HE
-


= -




h
a

titty
= -




*

, to
Indeterminate
tank )
¥2 ¥97,7
.
=
=




ooh
)
toff
tank
b = =


FI
-
-


at z
,



tank
=
to = •
x -22-1
¥4 Ot




⇒ -57¥ = a
-

.




II. z+¥n = a




Therefore know there vertical @
asymptotes
,
we one



2=-2

X = 2

where k EZ
x =
I title

, b) g Cx ) =
x -

I -
213C



* where does the numerator not exist ?

* Where is the denominator zero ?

* where does the denominator not exist ?

Candidates
x -
I -

¥ = O x -
-
O


K2 -

x -
L
=
O x = -

I


( K -

2) ( xtc ) =D x =
2

X =
2 x = -
I


X = O
=
-




K t I
b -




x -20 x -
I -
You

Eso

-x¥x
22 x
-
2




2K¥
h
-
K -20
( x -




IF o ¥ =

I =
o




¥
-




X = 2
=




¥2 =
to =
z .
oh
" "




¥zx¥z= ¥ z
=

¥ →




" "




¥ z
-


¥ =
f. = .
o




X = -
I

=
K -2 -
I
=
Is .
. ¥ =

I =


's
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