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The short version: What path should I take to learn Calculus in High-School?

The long version: I am a high-school freshman, and I am enamored with mathematics, and I just see beauty in many things when it comes to math. One of which is derivatives. For the past week or so, I have shifted my focus from my regular math class (geometry, ugh) to the beginnings of Calculus. And I am in love with what I have seen so far.

Before I go any further, I would like to give a little proof that I am not making this up: I formulated the Power Rule all on my own, just by looking in the patterns between the base equation and the derivative of it. My math teacher just about had a heart attack.

So here is my question: What is the order in which you guys (and maybe girls :) would suggest that I go through in Calculus? So far, I grasp a fairly solid knowledge of the Power rule and Limits, and I can find the derivative of just about any (sorta simple, nothing too complex ;) equation thrown at me. Currently, I am using Kahn Academy for my main resource. So, anybody have some input? :)

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    @CodeAdmiral nope, it's not $2x^{x-1}$. It turns out that derivative is $\ln(2)2^x$. It's related to the fact that the derivative of $e^x$ is $e^x$. The distinction is that $x^2$ has the variable in the base whereas $2^x$ has a variable exponent. Anyway, I think the other comments here are useful to you. I merely wish to encourage you to think through the standard approach before you try to find an easier one. But, do try.2012-11-09

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You might very well want to visit the art of problem solving's "online school", where you will find both curriculum with which to proceed in learning calculus (and more!), and where, perhaps, you'll find a sense of community with other young math enthusiasts!

For a free and credible "text", see MIT OCW Calculus online text. What's nice is that each section/chapter is available for downloading in pdf.


ADDED: See also S.O.S. Calculus.

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    Ah, true, I just want to keep myself going in a general direction, making sure I don't completely miss something ^^2012-11-08