Hi, Im a total newb at Calculus, Im only in Triginometry in my school, but Im trying to self-learn Calculus, and im having trouble understanding this concept of derivatives. I understand that it is the tangent of a line, and I also understand how to find them the long way using,

But my question is, is there any shortcut to finding a derivative, like in the function

the derivative is simply

, but what do I do for the bigger ones such as

, is there any shortcut there? I already found the derivative of

which is

So please tell me if you know any shortcuts to finding the derivatives of a function such as

. Thanks!

P.S - Please dont use any big calculus words - im only in triginometry!