The number of major crimes committed in the city between 1997 and 2004 is approximated by the function 
where N(t) denotes the number of crimes committed in year t ( 
corresponds to 1997).Enraged by the dramatic increase in the crime rate, the citizens, with the help of the local police, organized "Neighborhood Crime Watch" groups in early 2001 to combat this menace.
Show that the growth in the crime rate was maximal in 2003, giving credence to the claim that the Neighborhood Crime Watch program was working.
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