> For the complete documentation index, see [llms.txt](https://isubasinghe.gitbook.io/isithas-wiki/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://isubasinghe.gitbook.io/isithas-wiki/math/calculus.md).

# calculus

## Basic idea

Study of continuous change via limits, derivatives (rates) and integrals (accumulation).

## Key formulas

* Derivative: $f'(x)=\lim\_{h\to 0}\frac{f(x+h)-f(x)}{h}$
* Fundamental theorem: $\int\_a^b f'(x),dx=f(b)-f(a)$
* Chain rule: $(f\circ g)'(x)=f'(g(x)),g'(x)$