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**gs.sh11** 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, $\displaystyle \frac{f(x+h) - f(x)}{h}$

But my question is, is there any shortcut to finding a derivative, like in the function $\displaystyle f(x) = x^n$ the derivative is simply$\displaystyle f^1(x) = nx^n-1$, but what do I do for the bigger ones such as $\displaystyle f(x) = x^2 + 2x$, is there any shortcut there? I already found the derivative of $\displaystyle f(x) = x^2 + 2x$ which is $\displaystyle \frac{x^2 + 2x}{-4x}$

So please tell me if you know any shortcuts to finding the derivatives of a function such as $\displaystyle f(x) = x^2 + 2x$. Thanks!

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