i hate this paper, its got so many questions that im like "omg, help!" ...but im really stuck at number 6 ..."If f(x)=cos(2x)-3sin(4x), find the exact value of f'(pie/6).

**0**

# 2003 paper 2 Q6

Started by Azie, May 14 2007 02:25 PM

8 replies to this topic

### #1

Posted 14 May 2007 - 02:25 PM

### #2

Posted 14 May 2007 - 02:51 PM

you would find out what f'(x) is which is differentiating the sinx and cosx, then sub in pie/6 and you should know what your values are by changing the pie/6 into degrees (which is 30 degrees) and then find exact values from the exact values table or triangle.

hope that makes a bit of sense to you !

hope that makes a bit of sense to you !

### #3

Posted 14 May 2007 - 02:55 PM

actually just ignore me, i think im talking a lot of rubbish there! sorry!

### #4

Posted 14 May 2007 - 02:58 PM

i think u do differenciate but i jus dnt no how or where 2 start ...i dunno if u use the double angle formulas or the standard derivatives :s

### #5

Posted 14 May 2007 - 03:01 PM

You differentiate the function and then sub pie/6 into the equation and then simplify

### #6

Posted 14 May 2007 - 03:04 PM

To do the differentiation, just use the standard derivatives from the front of the exam paper, e.g. , then sub in to the result.

### #7

Posted 14 May 2007 - 04:06 PM

nope, i still dnt get it ...any chance u's cud show me an example using the actual numbers with dumbed down solutions coz i can b really slow an get confused easily when it cums 2 questions like these :s

### #8

Posted 14 May 2007 - 04:13 PM

okay

f(x) = cos2x - 3sin4x

f'(x) = -2sin2x - 12cosx

f'(pi/6) = -2sin(2pi/6) - 12cos(4pi/6)

= -2sin60 - 12cos120

=-2(root3/2) - 12(-0.5)

= -2root3/2 + 6

= -root3 + 6

or

6 - root3

f(x) = cos2x - 3sin4x

f'(x) = -2sin2x - 12cosx

f'(pi/6) = -2sin(2pi/6) - 12cos(4pi/6)

= -2sin60 - 12cos120

=-2(root3/2) - 12(-0.5)

= -2root3/2 + 6

= -root3 + 6

or

6 - root3

### #9

Posted 14 May 2007 - 04:28 PM

aw, i think i get it now, thanks a lot

#### 1 user(s) are reading this topic

0 members, 1 guests, 0 anonymous users