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 functions--given to us courtesy of basic calculus. • (F1) if f ( t ) = t n , where n is a non-zero integer, then f' ( t ) = nt n-1 . • (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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This note was uploaded on 02/09/2012 for the course PHY PHY2053 taught by Professor Davidjudd during the Fall '10 term at Broward College.
- Fall '10