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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 high-rise 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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