Proving Derivatives

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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.

Here's x cubed

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Here's x cubed

And x to the power of n

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And x to the power of n. This one literally took over an hour to write in LaTeX.

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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Taking a step back into linear equations (mx+c), here is a proof that m is the gradient of the equation.

Taking a step back into linear equations (mx+c), here is a proof that m is the gradient of the equation

Ups! Gambar ini tidak mengikuti Pedoman Konten kami. Untuk melanjutkan publikasi, hapuslah gambar ini atau unggah gambar lain.

And finally, here is a proof of the differentiation of a constant. Fairly simple.

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

Ups! Gambar ini tidak mengikuti Pedoman Konten kami. Untuk melanjutkan publikasi, hapuslah gambar ini atau unggah gambar lain.

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.

Calculus: A Basic IntroductionTempat cerita menjadi hidup. Temukan sekarang