![]() Requests for calculation or estimation of real-world problems and values are best suited for the Quick Questions thread, /r/askmath or /r/theydidthemath. For example, if you think your question can be answered quickly, you should instead post it in the Quick Questions thread. Questions on /r/math should spark discussion. Rule 2: Questions should spark discussion Please avoid derailing such discussions into general political discussion, and report any comments that do so. In particular, any political discussion on /r/math should be directly related to mathematics - all threads and comments should be about concrete events and how they affect mathematics. ![]() ![]() All posts and comments should be directly related to mathematics, including topics related to the practice, profession and community of mathematics.Īll posts and comments should be directly related to mathematics, including topics related to the practice, profession and community of mathematics. For example let n = 8 then y = x 8 and differentiating it would give dy/ dx = 8 x 7.This subreddit is for discussion of mathematics. Let y = x n, then we should expect to find that dy/ dx = nx ( n-1). Following out logically our observation, we should conclude that if we want to deal with any higher power,-call it n-we could tackle it in the same way.You would expect that differentiating x 5 would give 5 x 4 or differentiating x 6 would give 6 x 5. Now, when you have once seen this, you might easily conjecture how the others will run. Just look at these results: the operation of differentiating appears to have had the effect of diminishing the power of x by 1 (for example in the last case reducing x 4 to x 3), and at the same time multiplying by a number (the same number in fact which originally appeared as the power).Let us collect the results to see if we can infer any general rule.merely means "a little bit of." Thus dx means a little bit of x or du means a little bit of u.you will find that these little bits or elements may be considered to be indefinitely small. from even attempting to learn how to calculate, can be abolished once for all by simply stating what is the meaning-in common sense terms-of the two principal symbols that are used in calculating. The preliminary terror, which chokes off most.p.xi Noted as an ancient Simian proverb: "What one fool can do, another can."Ĭh.1 To Deliver You from the Preliminary Terrors.Master these thoroughly, and the rest will follow. Being myself a remarkably stupid fellow, I have had to unteach myself the difficulties, and now beg to present to my fellow fools the parts that are not hard.On the contrary, they seem to desire to impress you with their tremendous cleverness by going about it in the most difficult way. The fools who write the textbooks of advanced mathematics-and they are mostly clever fools-seldom take the trouble to show you how easy the easy calculations are. Considering how many fools can calculate, it is surprising that it should be thought either a difficult or a tedious task for any other fool to learn how to master the same tricks. ![]() 1.3 Ch.2 On Different Degrees of Smallness.1.2 Ch.1 To Deliver You from the Preliminary Terrors.
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