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Unformatted text preview: f ( x ) where f is given by f ( x ) = x + x x + 1 Check your answer using the quocient rule. (4) Find the derivatives of the following functions: (a) f ( x ) = x 2 (cos( x sin x )) (b) g ( x ) = ( x sec 2 x ) 3 (5) Using implicit dierentiation nd the tangent line to the curve x 2 + 4 xy + y 2 = 13 at the point (2,1). (6) Match the graph of f and f . (7) (Extra  no points) The distance between the towns A and B is 1000 miles. There is 3000 apples in A, and the apples have to be delivered to B through a desert road. The available car can take 1000 apples at most. The car driver has developed an addiction to apples: when he has apples aboard he eats 1 apple with each mile made. Figure out the strategy that yields the largest amount of apples to be delivered to B....
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 Fall '08
 staff
 Calculus

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