Differentiating Trig Functions again

[QuarkCharmer]

Homework Statement

Does this look correct? How do I know when to stop simplifying things? Sometimes it comes out to a nice little expression, and other times it's a long solution. In the latter, I spend too much time trying to simplify it further!

Homework Equations

The Attempt at a Solution

 

[micromass]

Hi QuarkCharmer!

That looks ok!

About the simplifying. I think your simplification is quite good here. As soon as you don't see any way to simplify further, you're done. How much you want to simplify is quite dependent of what you want to do next. Sometimes, you don't need to simplify at all!

 

[QuarkCharmer]

Thanks.

We were showed a simple example, where the derivative simplified down to something that COULD have been simplified further (but it wasn't obvious), and we were told that is where we should stop. I'm just confused as to what is expected ugh.

 

[micromass]

Can you maybe post this example? I don't see a good reason why you should stop simplifying. Unless they mean that the simplification is not easy, and that they don't want you to waste time on it...