Your Practice Set – Applications and Interpretation for IBDP Mathematics
4x
3 . Let f( x) �
2
( x �1 )
.
( a ) |
Find f�
( x)
.
|
( b ) |
Hence , solve the equation f�( x) �
0.
|
|
8 ( x �
2 ) It is given that f��( x) �
.
4 ( x �1 )
|
[ 2 ]
[ 2 ]
( c ) ( i ) Show that the x -coordinate of the local maximum of f is 1 .
( ii ) Hence , write down the y -coordinate of the local maximum of f . [ 3 ]
� � � 4 . Let f ( x) � sin�2x
� ��3
� 3 � for
� 2�
� � x � . 3 3
( a ) |
Find f�
( x)
.
|
( b ) |
Hence , solve the equation f�( x) �
0.
|
( c ) |
( i ) |
Write down f��
( x)
.
|
[ 2 ]
[ 2 ]
( ii ) Hence , determine the x -coordinate of the local minimum of f .
( iii ) Write down the y -coordinate of the local minimum of f . [ 4 ]
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