Unformatted text preview: (P1) ( f + g )' = f' + g' • (P2) ( cf )' = cf' , where c is a constant. Without going into more detail about the mathematical nature of derivatives, we will use the following results for the derivatives of some particular functionsgiven to us courtesy of basic calculus. • (F1) if f ( t ) = t n , where n is a nonzero integer, then f' ( t ) = nt n1 . • (F2) if f ( t ) = c , where c is a constant, then f' ( t ) = 0 . • (F3a)if f ( t ) = cos wt , where w is a constant, then f' ( t ) =  w sin wt . • (F3b)if f ( t ) = sin wt , then f' ( t ) = w cos wt . These rules, together with (P1) and (P2) above, will give us all the necessary tools to solve many interesting kinematics problems....
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 Fall '10
 DavidJudd
 Physics, Derivative, sin wt, cos wt, elementary calculus, interesting kinematics problems

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