Apps. and Interpretation for IBDP Maths Ebook 2 | Page 163

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4 . Let f ( x) � ln x .
( a ) Find f� ( x) .
( b ) Hence , write down the gradient of the tangent to the curve of f at ( 2 , ln 2 ) .
It is given that the equation of the normal to the curve of f at ( 2 , ln y � mx � ( ln 2 � 2 m) , where m is a constant .
2 ) is
[ 2 ]
[ 1 ]
( c ) Find the exact value of the y -intercept of the normal to the curve of f at ( 2 , ln 2 ) .
[ 3 ]

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