Extrem values

Mar 2010
14
0
A little help please :)
I have absolutely no idea what to do..

Give, in exact form, the coordinates for the maxpositions in this curve:

\(\displaystyle y = 2 sin x - x\)

In the intervall \(\displaystyle 0 < x < 2 pi \)


You have to excuse my incorrect english and grammar...

Best Regards
 
Jun 2009
806
275
Ffind the derivative of y with respect to x and equate to zero. Find he value of x.

y = 2sin(x) - x.........(1)
dy/dx = 2cos(x) - 1 = 0
cos(x) = 1/2.
Now find all possible values of x.
Substitute the values of x in eq.(1) to get the y values.
 
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