Stationary points. Help?

Hi all,

I'm doing my maths homework and I'm stuck on a question. Might be quite simple but I just don't know where to go from here.

Q: Find the location of the stationary points of the function y = x + sinx in the interval 0 ≤ x < 2π.

I've differentiated it once, getting dy/dx = 1 + cosx.
I know that at any stationary point dy/dx = 0.
But how can I find the value of x?

You need to make dy/dx = 0, so 1 + cosx = 0.

Rearrange this to make cosx = -1, and solve for x.

Just a question, is it just one stationary point you're looking for? There's only one solution in the range you've given and the question specifies stationary points.

Thanks! Makes sense.

The question mentions stationary points (turning points and/or points of inflection). But if there's only one solution then perhaps I can only solve for one stationary point.

If it's plural it means more than one, may have been an error. Do you have the answer given with you or not?

Unfortunately, I don't. We're only given the answers after submitting the homework.