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Unformatted text preview: (3, 1/3). Write the equation of the tangent line at this point. Derivative of a function: • The derivative of a function f with respect to x is the function f ’ (read “f prime”) f ’(x) = lim f(x+h) – f(x) h → 0 h The domain of f ’ is the set of all x where the limit exists. Find the derivative of f(x) = 9x 2 + 6x 1 Real World Application: • During the construction of a highrise building, a worker accidentally dropped his portable electric screwdriver from a height of 576 feet. After t seconds, the screwdriver had fallen a distance of s = 16t2 feet. • How long did it take the screwdriver to reach the ground? • What was the average velocity of the screwdriver between the time it was dropped and the time it hit the ground? • What was the instantaneous velocity of the screwdriver at the time it hit the ground?...
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This note was uploaded on 10/07/2011 for the course MATH 1431 taught by Professor Vaughn during the Spring '08 term at LSU.
 Spring '08
 VAUGHN
 Calculus, Derivative, Slope

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