Analysis and Approaches for IBDP Maths Ebook 2 | Page 134

Your Practice Set – Analysis and Approaches for IBDP Mathematics
Exercise 40
1. (a) Expand
( x 2 h)
2
� � .
(b) Hence, find the derivative of
y
2
� � from first principles.
( x 2)
[2]
[3]
2. Find the derivative of
f ( x) x 2x
2 3
� � from first principles.
[5]
3. Find the derivative of
1
f( x)
�
3x
� 2
from first principles.
[5]
1
4. Find the derivative of f( x)
�
2
(1 � 2 x)
from first principles.
[5]
124
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