Utilizator:Andreibanc/SandBox3

Funcţia	Derivata	Domeniul de derivabilitate	Funcţia compusă	Derivata funcţiei compuse
$c(constant\check{a})$	$0$	$ℝ$
$x$	$1$	$ℝ$	$u$	$u^{\prime }$
$x^n(n\in {\mathbb{N}}^{\ast })$	$n{x}^{n-1}$	$ℝ$	$u^n(n\in {\mathbb{N}}^{\ast })$	$n\cdot u^{n-1}{u}^{\prime }$
$x^{\alpha }(\alpha \in ℝ)$	$\alpha x^{\alpha -1}$	$D_{f^{\prime }}\supseteq (0,\mathrm{\infty })$	$u^{\alpha }(\alpha \in ℝ,u>0)$	$\alpha \cdot u^{\alpha -1}\cdot u^{\prime }$