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Miloslav Ciz 2025-01-11 20:07:14 +01:00
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calculus.md
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@ -52,6 +52,8 @@ Now listen up, here comes the truth about calculus. Doing it correctly and preci
The basics of calculus aren't that hard, however it can go deeper and deeper and one can probably dedicate whole life just to learning more and more; as you learn the basic derivatives and integrals, you move on to multidimensional calculus, vector calculus, integrating over curves and surfaces, various esoteric methods of analytical and numerical integration etcetc.
Calculus may also be considered advanced for the fact that -- [historically](history.md) speaking -- it's relatively "new", i.e. it took a long time to develop it and ancient and medieval civilizations existed without it despite otherwise having quite impressive math already. Of course precursors to calculus date very far back in history, parts of it and some special case problem were examined and solved, but it wasn't until 17th century when it was developed into a complete, general discipline. That happened thanks to Newton and Leibniz (they happened to develop it independently).
## Derivative
Derivative finds how **quickly a function grows** at any given point. DOING derivatives is called **differentiation** (confusingly because differential is a term distinct from derivative). Since derivative and integral are opposite operations, one would assume they'd be equally difficult to handle, but no, derivative is the **easier** part! So it's always taught first. It's kind of like multiplication and division -- multiplication is a bit easier (division has remainders, undefined division by zero etc.).