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Unformatted text preview: 1 MATHA116, Survey of Calculus, Quiz #6 Solutions Updated on October 23, 2006 Gethelpwheneverindoubt! c [email protected] D irection. VIII1. Please read each of the following questions carefully. Show your work as much as possible. No partial credit will be given without proper work shown. Write your answer above the Answer line. Use the back of each page should more space be needed. N Important: Direction. Q uestion VIII1. ( 40 points ) Find the third derivative of function g ( s ) = 3 s 4 4 s 3 . W ork VIII1. Each of the derivatives of g is computed using primarily the power rule as shown below. g ( s ) = 3 s 4 4 s 3 (1) g ( s ) = ( g ( s )) = (3 s 4 4 s 3 ) = 12 s 3 12 s 2 (2) g 00 ( s ) = ( g ( s )) = (12 s 3 12 s 2 ) = 36 s 2 24 s (3) g 000 ( s ) = ( g 00 ( s ))) = (36 s 2 24 s ) = 72 s 24 (4) The answer is g 000 ( s ) = 72 s 24. Q uestion VIII2. ( 30 points ) Find the third derivative of function h ( t ) = 2 t 2 ....
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 Calculus, Derivative, Product Rule, dy dx, x1, [email protected]

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