Analysis and Approaches for IBDP Maths Ebook 1 | Seite 160

Your Practice Set – Analysis and Approaches for IBDP Mathematics
4. Let
1
f( x) �
�3
� � �
sin �2x
� �
� 3 �
for
� 2�
� � x � ,
3 3
�
x � . The graph of f is given below.
6
� � �
The graph of f has a local maximum at P ��
, �4�
� 12 �
and a local minimum at Q .
(a)
Use the quotient rule to show that
(b) Hence find the coordinates of Q .
(c)
� � �
2cos�2x
� �
3
f�( x)
��
� �
.
2 � � �
sin �2x
� �
� 3 �
A straight line L passes through P and Q . Write down the total number of
points on intersection between L and f .
[5]
[7]
[1]
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