9 . Let f x
2
( ) ln ( x 4 ) � � , x� .
( a ) Find f � ( 2 ) . [ 4 ] g is another function such that its graph is always above the x -axis and A is a point on its graph . The x -coordinate of A is 5 . The equation of the normal to the graph at A is y� �x� 7.
( b ) Write down
( i ) g ( 5 ) ;
( ii ) g� ( 5 ) .
Let h( x) � ( f g)( x) , x� .
[ 2 ]
( c ) Find the equation of the tangent to the graph of h at the point where x � 5, giving the answer in the form y �mx � c .
[ 6 ]
© SE Production Limited 18 All Rights Reserved 2021