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Unformatted text preview: f ( x ) has a zero in the interval [0 ; 1] : (section 2.6) 3. (6 points) Use the de&nition of the derivative to &nd dy dx for the function y = 1+ x 3 x . (section 3.1) 4. Find the derivatives of the following functions. Do not simplify. (sections 3.2, 3.4 and 3.5) (a) (3 points) f ( x ) = x 3 sin ( x 4 ) (b) (3 points) f ( x ) = x 3 tan ( 3 x 3 ) (1 & 6 x ) 1 5. (6 points) A spaceship that is stationery in outer space &res a projectile which travels horizontally in a straight line. Its position from the spaceship is given by the function: s = t 2 + 4 t where s is in meters and t is in seconds. What is the velocity of the projectile when it is 12 meters from the spaceship? (section 3.3) 2...
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 Spring '09
 Nouh
 Calculus, Derivative, Continuous function, 50 Minutes, 12 meters, Riverside Department of Mathematics

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