MAT1512 Assignment 2 2022 Solutions

For Assistance with other modules
Call or Whatsapp +27682021794
www.myassignments.co.za




MAT1512
Assignment 02
2022

Due date
26 May 2022




+27682021794 www.myassignments.co.za [AUTHOR NAME]

, QUESTION 1
(a)
d
dx
( 3x 2 − 4 x + 1)

=
d
dx
( 3 x 2 ) − ( 4 x ) + (1)
d
dx
d
dx


=
d
dx
( 3x 2 ) = 6 x

d
= ( 4 x ) = 4
dx
d
= (1) = 0
dx

= 6x-4+0
= 6x − 4


(b)

d  2x +1 
 
dx  x + 3 
'
 f  f ' .g − g ' . f
Apply the Quotient rule   =
g g2
d d
( 2 x + 1)( x + 3) − ( x + 3)( 2 x + 1)
= dx dx
( x + 3)
2


d
= ( 2 x + 1) = 2
dx
d
= ( x + 3) = 1
dx
2 ( x + 3) − 1  ( 2 x + 1)
=
( x + 3)
2


5
=
( x + 3)
2




2