Page 30 - Math SL HB Sem 2

9 The tunction/is given byl(.r) : 2sin (5.x - 3).

(a) Find/" (.r).

(b) Write down (r)dt.
J "f
(fotal 6 mark)

10. Part ofthe graph ofthe periodic function;f is shown below. The domain of/ is0<:<15and
the period is 3.

4 ^n

3

2

I

0
012345678910

(a) Find
(D f Q):

(iD f'$s);

(iii) /'(14).

(b) How many solutions are there to the equation/(-r) = [ over the given domain?

(total 6 mark)

6