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Unformatted text preview: 3.16 ) for y in terms of x , its graph lies on L ( f,c ): f ( p ( x )) = f ( x, ( x )) = c. Applying the Chain Rule to the composition, we can dierentiate both sides of this to get f x + f y dy dx = 0 and, provided the derivative f/y is not zero , we can solve this for ( x ) = dy/dx : ( x ) = dy dx = f/x f/y ....
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- Fall '08