1. Công thức

  $\left(c\right)\text{'}=0$ ( $c$ là hằng số);

$\left(x^n\right)\text{'}=n{x}^{n-1}\left(n\in \mathrm{\mathbb{N}}*, x\in \mathrm{ℝ}\right)$ ;

  $\left(\sqrt{x}\right)\text{'}=\frac{1}{2\sqrt{x}}\left(x>0\right)$.

2. Phép toán

$$\begin{gathered} \left(u+v\right)\text{'}=u\text{'}+v\text{'}; \\ \left(u-v\right)\text{'}=u\text{'}-v\text{'}; \\ \left(uv\right)\text{'}=u\text{'}v+uv\text{'}; \end{gathered}$$

 $\left(ku\right)\text{'}=ku\text{'}$($k$ là hằng số);

$$\begin{gathered} \left(\frac{u}{v}\right)\text{'}=\frac{u\text{'}v-uv\text{'}}{v^2} \left(v=v\left(x\right)\ne 0\right); \\ \left(\frac{1}{v}\right)\text{'}=\frac{-v\text{'}}{v^2} \left(v=v\left(x\right)\ne 0\right). \end{gathered}$$

3. Đạo hàm của hàm hợp

                            $y{\text{'}}_x=y{\text{'}}_u.u{\text{'}}_x$

Hệ quả: +) $\left(u^n\right)\text{'}=n.u^{n-1}.u\text{'}$ ; 

             +) $\left(\sqrt{u}\right)\text{'}=\frac{u\text{'}}{2\sqrt{u}}$.