If f(x)=4arctan(7x), find f'(x). Find f'(4).

F(n + 1) = f(n) – 8. if f(1) = 100, what is f(6)?

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.

Graph the equationy=x^2 -[tex]y = x^{2} - 2[/tex]