Derivado estas procedo, kio bezonas kelkajn regulojn por plifaciligi la kalkulon de la derivaĵo
x ∈ R + ∗ {\displaystyle x\,\in \mathbb {R} _{+}^{*}}
aŭ 
, 
![{\displaystyle x\,\in \ ]-1;1[}](https://wikimedia.org/api/rest_v1/media/math/render/svg/373521c9bc0880182a30ed3bfb80925141a1f3f6)
![{\displaystyle D[\alpha f(x)+\beta g(x)]=\alpha f'(x)+\beta g'(x)\,\qquad \alpha ,\beta \in \mathbb {R} }](https://wikimedia.org/api/rest_v1/media/math/render/svg/d6d80f0b1f86a1ab1a1b1ec359597c07a09ffdb2)
![{\displaystyle D[{f(x)g(x)}]=D[f(x)]\cdot g(x)+f(x)\cdot D[g(x)]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/0efa18ab863e39583926958c41015eeb444a7ce7)
![{\displaystyle D\left[{f(x) \over g(x)}\right]={f'(x)g(x)-f(x)g'(x) \over g(x)^{2}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/16aa5276ef010a9ad21435876020bebcd5dbe9fa)
![{\displaystyle D\left[{1 \over f(x)}\right]=-{f'(x) \over f(x)^{2}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/6ab9e496c8afae6d38dc1e572a31a6716755c019)
![{\displaystyle D[f^{-1}(x)]={1 \over f'(f^{-1}(x))}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c43bc29bd3cdd0b358afcbdd46e6cbc0ed971a88)
![{\displaystyle D\left[f\left(g(x)\right)\right]=f'\left(g(x)\right)\cdot g'(x)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b4c1108d9c648b7b80e9a35031bf095978886a66)
