Uitwerking examenoefeningen Hogere Wiskunde 1

Exmenuzag 2021
pinusui

③ f :IE-33 - M : xm X
X+ 3


f
:
3).
(3))
as (x) = = X .
(x +3) -
(x+ x

(x+3)2


= X + 3 - X
3
xz= (x+3)
2

↳ ·

2
I

f( (x) =


(32)) =
(3 (x 2jz) +



I
-
(x + 2)
3
⑳3
3)
- (
f(3)(x) = 6 (x + 2)

- 18
↳ 3
Sel" 3




f (4) (x) =
(18(x 25-4) + =
-
72
(x +2)5
!
n +1
f(a)(x) = ( 1)
-
3
· . m !
~
voor m) 1
,


gm
+1
(x +




benijs adhv inducte

Basisstat : witspask gelde vorr m=n




f(n) (x) = fix I 3
um (x+32
um
L Ru
1 1
+




LL = r 1)
-
·
3 .
1 ! - -
3 =RL -oh
(x 3)2 ~

3)2
+

( +

,
,
,
,
,