This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
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 diﬀerentiation ﬁnd 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....
View
Full Document
 Fall '08
 staff
 Calculus, Derivative, lim, 1000 miles

Click to edit the document details