Calculus surrounds all of us every day. But most people either don't want to learn about this glorious subject, or find it too difficult. That is where this book comes in. It will explain what calculus is, and include detailed examples to help you u...
The following chapter doesn't need to be observed entirely, but it is handy when you need to prove your differentiation, and don't have a zoomed in graph ready. Hopefully this will include any function you need, but if it doesn't, please either add a comment or message me directly.
We'll start off with one of the simplest function, which has been proved graphically in the previous chapter. x squared.
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Here's x cubed
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And x to the power of n. This one literally took over an hour to write in LaTeX.
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Taking a step back into linear equations (mx+c), here is a proof that m is the gradient of the equation.
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And finally, here is a proof of the differentiation of a constant. Fairly simple.
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Just letting you know, I am currently in the process of "upgrading" this book, incorporating many different types of mathematics, from counting to geometry to Calculus to topology, and beyond. I will still try to write about Calculus, but I am just writing more. Hopefully.
